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Finding the Fourth Proportional to 529.36, 732.06 and 463.74

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Solution

The fourth proportional to 529.36, 732.06 and 463.74 is: 641.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.36 : 732.06 = 463.74 : x
  2. Step 2: Convert to fraction form
    529.36/732.06 = 463.74/x
  3. Step 3: Cross multiply
    529.36x = 732.06 × 463.74
  4. Step 4: Simplify right side
    529.36x = 339,485.50
  5. Step 5: Solve for x
    x = 339,485.50/529.36
  6. Step 6: Final answer
    x = 641.31

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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.