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Finding the Fourth Proportional to 385.38, 531.30 and 302.16

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Solution

The fourth proportional to 385.38, 531.30 and 302.16 is: 416.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.38 : 531.30 = 302.16 : x
  2. Step 2: Convert to fraction form
    385.38/531.30 = 302.16/x
  3. Step 3: Cross multiply
    385.38x = 531.30 × 302.16
  4. Step 4: Simplify right side
    385.38x = 160,537.61
  5. Step 5: Solve for x
    x = 160,537.61/385.38
  6. Step 6: Final answer
    x = 416.57

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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.