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Finding the Fourth Proportional to 456.30, 684.42 and 391.74

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Solution

The fourth proportional to 456.30, 684.42 and 391.74 is: 587.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.30 : 684.42 = 391.74 : x
  2. Step 2: Convert to fraction form
    456.30/684.42 = 391.74/x
  3. Step 3: Cross multiply
    456.30x = 684.42 × 391.74
  4. Step 4: Simplify right side
    456.30x = 268,114.69
  5. Step 5: Solve for x
    x = 268,114.69/456.30
  6. Step 6: Final answer
    x = 587.58

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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.