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Finding the Fourth Proportional to 530.86, 732.66 and 298

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Solution

The fourth proportional to 530.86, 732.66 and 298 is: 411.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.86 : 732.66 = 298 : x
  2. Step 2: Convert to fraction form
    530.86/732.66 = 298/x
  3. Step 3: Cross multiply
    530.86x = 732.66 × 298
  4. Step 4: Simplify right side
    530.86x = 218,332.68
  5. Step 5: Solve for x
    x = 218,332.68/530.86
  6. Step 6: Final answer
    x = 411.28

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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.