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Finding the Fourth Proportional to 421.48, 632.01 and 177.76

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Solution

The fourth proportional to 421.48, 632.01 and 177.76 is: 266.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.48 : 632.01 = 177.76 : x
  2. Step 2: Convert to fraction form
    421.48/632.01 = 177.76/x
  3. Step 3: Cross multiply
    421.48x = 632.01 × 177.76
  4. Step 4: Simplify right side
    421.48x = 112,346.10
  5. Step 5: Solve for x
    x = 112,346.10/421.48
  6. Step 6: Final answer
    x = 266.55

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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.