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Finding the Fourth Proportional to 530.46, 732.06 and 297.54

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Solution

The fourth proportional to 530.46, 732.06 and 297.54 is: 410.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.46 : 732.06 = 297.54 : x
  2. Step 2: Convert to fraction form
    530.46/732.06 = 297.54/x
  3. Step 3: Cross multiply
    530.46x = 732.06 × 297.54
  4. Step 4: Simplify right side
    530.46x = 217,817.13
  5. Step 5: Solve for x
    x = 217,817.13/530.46
  6. Step 6: Final answer
    x = 410.62

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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.