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Finding the Fourth Proportional to 601.38, 829.58 and 380.25

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Solution

The fourth proportional to 601.38, 829.58 and 380.25 is: 524.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.38 : 829.58 = 380.25 : x
  2. Step 2: Convert to fraction form
    601.38/829.58 = 380.25/x
  3. Step 3: Cross multiply
    601.38x = 829.58 × 380.25
  4. Step 4: Simplify right side
    601.38x = 315,445.89
  5. Step 5: Solve for x
    x = 315,445.89/601.38
  6. Step 6: Final answer
    x = 524.54

Related Problems

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.