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Finding the Fourth Proportional to 458.94, 687.15 and 312.96

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Solution

The fourth proportional to 458.94, 687.15 and 312.96 is: 468.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.94 : 687.15 = 312.96 : x
  2. Step 2: Convert to fraction form
    458.94/687.15 = 312.96/x
  3. Step 3: Cross multiply
    458.94x = 687.15 × 312.96
  4. Step 4: Simplify right side
    458.94x = 215,050.46
  5. Step 5: Solve for x
    x = 215,050.46/458.94
  6. Step 6: Final answer
    x = 468.58

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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.