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Finding the Fourth Proportional to 529.28, 729.76 and 322.24

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Solution

The fourth proportional to 529.28, 729.76 and 322.24 is: 444.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.28 : 729.76 = 322.24 : x
  2. Step 2: Convert to fraction form
    529.28/729.76 = 322.24/x
  3. Step 3: Cross multiply
    529.28x = 729.76 × 322.24
  4. Step 4: Simplify right side
    529.28x = 235,157.86
  5. Step 5: Solve for x
    x = 235,157.86/529.28
  6. Step 6: Final answer
    x = 444.30

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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.