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Finding the Fourth Proportional to 530.53, 732.14 and 297.66

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Solution

The fourth proportional to 530.53, 732.14 and 297.66 is: 410.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.53 : 732.14 = 297.66 : x
  2. Step 2: Convert to fraction form
    530.53/732.14 = 297.66/x
  3. Step 3: Cross multiply
    530.53x = 732.14 × 297.66
  4. Step 4: Simplify right side
    530.53x = 217,924.56
  5. Step 5: Solve for x
    x = 217,924.56/530.53
  6. Step 6: Final answer
    x = 410.77

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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.