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Finding the Fourth Proportional to 529.16, 729.69 and 418.46

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Solution

The fourth proportional to 529.16, 729.69 and 418.46 is: 577.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.16 : 729.69 = 418.46 : x
  2. Step 2: Convert to fraction form
    529.16/729.69 = 418.46/x
  3. Step 3: Cross multiply
    529.16x = 729.69 × 418.46
  4. Step 4: Simplify right side
    529.16x = 305,346.08
  5. Step 5: Solve for x
    x = 305,346.08/529.16
  6. Step 6: Final answer
    x = 577.04

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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.