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Finding the Fourth Proportional to 530.69, 732.42 and 297.81

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Solution

The fourth proportional to 530.69, 732.42 and 297.81 is: 411.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.69 : 732.42 = 297.81 : x
  2. Step 2: Convert to fraction form
    530.69/732.42 = 297.81/x
  3. Step 3: Cross multiply
    530.69x = 732.42 × 297.81
  4. Step 4: Simplify right side
    530.69x = 218,123.09
  5. Step 5: Solve for x
    x = 218,123.09/530.69
  6. Step 6: Final answer
    x = 411.02

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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.