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Finding the Fourth Proportional to 385.47, 531.60 and 346.79

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Solution

The fourth proportional to 385.47, 531.60 and 346.79 is: 478.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.47 : 531.60 = 346.79 : x
  2. Step 2: Convert to fraction form
    385.47/531.60 = 346.79/x
  3. Step 3: Cross multiply
    385.47x = 531.60 × 346.79
  4. Step 4: Simplify right side
    385.47x = 184,350.91
  5. Step 5: Solve for x
    x = 184,350.91/385.47
  6. Step 6: Final answer
    x = 478.25

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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.