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Finding the Fourth Proportional to 530.67, 732.32 and 297.79

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Solution

The fourth proportional to 530.67, 732.32 and 297.79 is: 410.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.67 : 732.32 = 297.79 : x
  2. Step 2: Convert to fraction form
    530.67/732.32 = 297.79/x
  3. Step 3: Cross multiply
    530.67x = 732.32 × 297.79
  4. Step 4: Simplify right side
    530.67x = 218,078.36
  5. Step 5: Solve for x
    x = 218,078.36/530.67
  6. Step 6: Final answer
    x = 410.95

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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.