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Finding the Fourth Proportional to 637.50, 880.46 and 538.75

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Solution

The fourth proportional to 637.50, 880.46 and 538.75 is: 744.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.50 : 880.46 = 538.75 : x
  2. Step 2: Convert to fraction form
    637.50/880.46 = 538.75/x
  3. Step 3: Cross multiply
    637.50x = 880.46 × 538.75
  4. Step 4: Simplify right side
    637.50x = 474,347.83
  5. Step 5: Solve for x
    x = 474,347.83/637.50
  6. Step 6: Final answer
    x = 744.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.