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Finding the Fourth Proportional to 624.60, 937.28 and 277.96

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Solution

The fourth proportional to 624.60, 937.28 and 277.96 is: 417.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.60 : 937.28 = 277.96 : x
  2. Step 2: Convert to fraction form
    624.60/937.28 = 277.96/x
  3. Step 3: Cross multiply
    624.60x = 937.28 × 277.96
  4. Step 4: Simplify right side
    624.60x = 260,526.35
  5. Step 5: Solve for x
    x = 260,526.35/624.60
  6. Step 6: Final answer
    x = 417.11

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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.