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Finding the Fourth Proportional to 601.52, 829.85 and 365.47

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Solution

The fourth proportional to 601.52, 829.85 and 365.47 is: 504.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.52 : 829.85 = 365.47 : x
  2. Step 2: Convert to fraction form
    601.52/829.85 = 365.47/x
  3. Step 3: Cross multiply
    601.52x = 829.85 × 365.47
  4. Step 4: Simplify right side
    601.52x = 303,281.38
  5. Step 5: Solve for x
    x = 303,281.38/601.52
  6. Step 6: Final answer
    x = 504.20

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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.