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Finding the Fourth Proportional to 601.38, 829.70 and 365.26

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Solution

The fourth proportional to 601.38, 829.70 and 365.26 is: 503.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.38 : 829.70 = 365.26 : x
  2. Step 2: Convert to fraction form
    601.38/829.70 = 365.26/x
  3. Step 3: Cross multiply
    601.38x = 829.70 × 365.26
  4. Step 4: Simplify right side
    601.38x = 303,056.22
  5. Step 5: Solve for x
    x = 303,056.22/601.38
  6. Step 6: Final answer
    x = 503.93

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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.