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Finding the Fourth Proportional to 530.64, 732.24 and 297.76

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Solution

The fourth proportional to 530.64, 732.24 and 297.76 is: 410.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.64 : 732.24 = 297.76 : x
  2. Step 2: Convert to fraction form
    530.64/732.24 = 297.76/x
  3. Step 3: Cross multiply
    530.64x = 732.24 × 297.76
  4. Step 4: Simplify right side
    530.64x = 218,031.78
  5. Step 5: Solve for x
    x = 218,031.78/530.64
  6. Step 6: Final answer
    x = 410.88

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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.