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Finding the Fourth Proportional to 364.57, 502.72 and 271.16

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Solution

The fourth proportional to 364.57, 502.72 and 271.16 is: 373.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.57 : 502.72 = 271.16 : x
  2. Step 2: Convert to fraction form
    364.57/502.72 = 271.16/x
  3. Step 3: Cross multiply
    364.57x = 502.72 × 271.16
  4. Step 4: Simplify right side
    364.57x = 136,316.20
  5. Step 5: Solve for x
    x = 136,316.20/364.57
  6. Step 6: Final answer
    x = 373.91

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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.