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Finding the Fourth Proportional to 530.80, 732.50 and 294.74

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Solution

The fourth proportional to 530.80, 732.50 and 294.74 is: 406.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.80 : 732.50 = 294.74 : x
  2. Step 2: Convert to fraction form
    530.80/732.50 = 294.74/x
  3. Step 3: Cross multiply
    530.80x = 732.50 × 294.74
  4. Step 4: Simplify right side
    530.80x = 215,895.22
  5. Step 5: Solve for x
    x = 215,895.22/530.80
  6. Step 6: Final answer
    x = 406.74

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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.