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Finding the Fourth Proportional to 529.11, 730.37 and 473.74

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Solution

The fourth proportional to 529.11, 730.37 and 473.74 is: 653.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.11 : 730.37 = 473.74 : x
  2. Step 2: Convert to fraction form
    529.11/730.37 = 473.74/x
  3. Step 3: Cross multiply
    529.11x = 730.37 × 473.74
  4. Step 4: Simplify right side
    529.11x = 346,005.48
  5. Step 5: Solve for x
    x = 346,005.48/529.11
  6. Step 6: Final answer
    x = 653.94

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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.