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Finding the Fourth Proportional to 594.33, 892.71 and 456.90

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Solution

The fourth proportional to 594.33, 892.71 and 456.90 is: 686.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.33 : 892.71 = 456.90 : x
  2. Step 2: Convert to fraction form
    594.33/892.71 = 456.90/x
  3. Step 3: Cross multiply
    594.33x = 892.71 × 456.90
  4. Step 4: Simplify right side
    594.33x = 407,879.20
  5. Step 5: Solve for x
    x = 407,879.20/594.33
  6. Step 6: Final answer
    x = 686.28

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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.