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Finding the Fourth Proportional to 637.95, 880.50 and 414.17

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Solution

The fourth proportional to 637.95, 880.50 and 414.17 is: 571.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.95 : 880.50 = 414.17 : x
  2. Step 2: Convert to fraction form
    637.95/880.50 = 414.17/x
  3. Step 3: Cross multiply
    637.95x = 880.50 × 414.17
  4. Step 4: Simplify right side
    637.95x = 364,674.81
  5. Step 5: Solve for x
    x = 364,674.81/637.95
  6. Step 6: Final answer
    x = 571.63

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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.