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Finding the Fourth Proportional to 530.93, 732.63 and 294.86

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Solution

The fourth proportional to 530.93, 732.63 and 294.86 is: 406.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.93 : 732.63 = 294.86 : x
  2. Step 2: Convert to fraction form
    530.93/732.63 = 294.86/x
  3. Step 3: Cross multiply
    530.93x = 732.63 × 294.86
  4. Step 4: Simplify right side
    530.93x = 216,020.44
  5. Step 5: Solve for x
    x = 216,020.44/530.93
  6. Step 6: Final answer
    x = 406.87

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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.