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Finding the Fourth Proportional to 458.32, 686.88 and 293.77

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Solution

The fourth proportional to 458.32, 686.88 and 293.77 is: 440.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.32 : 686.88 = 293.77 : x
  2. Step 2: Convert to fraction form
    458.32/686.88 = 293.77/x
  3. Step 3: Cross multiply
    458.32x = 686.88 × 293.77
  4. Step 4: Simplify right side
    458.32x = 201,784.74
  5. Step 5: Solve for x
    x = 201,784.74/458.32
  6. Step 6: Final answer
    x = 440.27

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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.