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Finding the Fourth Proportional to 420.96, 628.18 and 372.36

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Solution

The fourth proportional to 420.96, 628.18 and 372.36 is: 555.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.96 : 628.18 = 372.36 : x
  2. Step 2: Convert to fraction form
    420.96/628.18 = 372.36/x
  3. Step 3: Cross multiply
    420.96x = 628.18 × 372.36
  4. Step 4: Simplify right side
    420.96x = 233,909.10
  5. Step 5: Solve for x
    x = 233,909.10/420.96
  6. Step 6: Final answer
    x = 555.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.