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Finding the Fourth Proportional to 530.71, 732.71 and 334.51

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Solution

The fourth proportional to 530.71, 732.71 and 334.51 is: 461.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.71 : 732.71 = 334.51 : x
  2. Step 2: Convert to fraction form
    530.71/732.71 = 334.51/x
  3. Step 3: Cross multiply
    530.71x = 732.71 × 334.51
  4. Step 4: Simplify right side
    530.71x = 245,098.82
  5. Step 5: Solve for x
    x = 245,098.82/530.71
  6. Step 6: Final answer
    x = 461.83

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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.