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Finding the Fourth Proportional to 620.55, 929.00 and 458.96

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Solution

The fourth proportional to 620.55, 929.00 and 458.96 is: 687.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.55 : 929.00 = 458.96 : x
  2. Step 2: Convert to fraction form
    620.55/929.00 = 458.96/x
  3. Step 3: Cross multiply
    620.55x = 929.00 × 458.96
  4. Step 4: Simplify right side
    620.55x = 426,370.34
  5. Step 5: Solve for x
    x = 426,370.34/620.55
  6. Step 6: Final answer
    x = 687.08

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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.