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Finding the Fourth Proportional to 530.52, 732.08 and 297.64

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Solution

The fourth proportional to 530.52, 732.08 and 297.64 is: 410.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.52 : 732.08 = 297.64 : x
  2. Step 2: Convert to fraction form
    530.52/732.08 = 297.64/x
  3. Step 3: Cross multiply
    530.52x = 732.08 × 297.64
  4. Step 4: Simplify right side
    530.52x = 217,896.29
  5. Step 5: Solve for x
    x = 217,896.29/530.52
  6. Step 6: Final answer
    x = 410.72

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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.