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Finding the Fourth Proportional to 458.40, 685.68 and 414

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Solution

The fourth proportional to 458.40, 685.68 and 414 is: 619.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.40 : 685.68 = 414 : x
  2. Step 2: Convert to fraction form
    458.40/685.68 = 414/x
  3. Step 3: Cross multiply
    458.40x = 685.68 × 414
  4. Step 4: Simplify right side
    458.40x = 283,871.52
  5. Step 5: Solve for x
    x = 283,871.52/458.40
  6. Step 6: Final answer
    x = 619.27

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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.