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Finding the Fourth Proportional to 420.53, 631.07 and 177.06

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Solution

The fourth proportional to 420.53, 631.07 and 177.06 is: 265.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.53 : 631.07 = 177.06 : x
  2. Step 2: Convert to fraction form
    420.53/631.07 = 177.06/x
  3. Step 3: Cross multiply
    420.53x = 631.07 × 177.06
  4. Step 4: Simplify right side
    420.53x = 111,734.46
  5. Step 5: Solve for x
    x = 111,734.46/420.53
  6. Step 6: Final answer
    x = 265.70

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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.