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Finding the Fourth Proportional to 555.80, 833.70 and 458.60

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Solution

The fourth proportional to 555.80, 833.70 and 458.60 is: 687.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.80 : 833.70 = 458.60 : x
  2. Step 2: Convert to fraction form
    555.80/833.70 = 458.60/x
  3. Step 3: Cross multiply
    555.80x = 833.70 × 458.60
  4. Step 4: Simplify right side
    555.80x = 382,334.82
  5. Step 5: Solve for x
    x = 382,334.82/555.80
  6. Step 6: Final answer
    x = 687.90

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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.