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Finding the Fourth Proportional to 530.74, 732.64 and 334.22

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Solution

The fourth proportional to 530.74, 732.64 and 334.22 is: 461.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.74 : 732.64 = 334.22 : x
  2. Step 2: Convert to fraction form
    530.74/732.64 = 334.22/x
  3. Step 3: Cross multiply
    530.74x = 732.64 × 334.22
  4. Step 4: Simplify right side
    530.74x = 244,862.94
  5. Step 5: Solve for x
    x = 244,862.94/530.74
  6. Step 6: Final answer
    x = 461.36

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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.