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Finding the Fourth Proportional to 528.36, 730.68 and 462.74

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Solution

The fourth proportional to 528.36, 730.68 and 462.74 is: 639.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.36 : 730.68 = 462.74 : x
  2. Step 2: Convert to fraction form
    528.36/730.68 = 462.74/x
  3. Step 3: Cross multiply
    528.36x = 730.68 × 462.74
  4. Step 4: Simplify right side
    528.36x = 338,114.86
  5. Step 5: Solve for x
    x = 338,114.86/528.36
  6. Step 6: Final answer
    x = 639.93

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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.