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Finding the Fourth Proportional to 314.61, 471.46 and 291.83

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Solution

The fourth proportional to 314.61, 471.46 and 291.83 is: 437.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.61 : 471.46 = 291.83 : x
  2. Step 2: Convert to fraction form
    314.61/471.46 = 291.83/x
  3. Step 3: Cross multiply
    314.61x = 471.46 × 291.83
  4. Step 4: Simplify right side
    314.61x = 137,586.17
  5. Step 5: Solve for x
    x = 137,586.17/314.61
  6. Step 6: Final answer
    x = 437.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.