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Finding the Fourth Proportional to 638.66, 881.75 and 417.98

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Solution

The fourth proportional to 638.66, 881.75 and 417.98 is: 577.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.66 : 881.75 = 417.98 : x
  2. Step 2: Convert to fraction form
    638.66/881.75 = 417.98/x
  3. Step 3: Cross multiply
    638.66x = 881.75 × 417.98
  4. Step 4: Simplify right side
    638.66x = 368,557.11
  5. Step 5: Solve for x
    x = 368,557.11/638.66
  6. Step 6: Final answer
    x = 577.08

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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.