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Finding the Fourth Proportional to 462.28, 637.98 and 448.60

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Solution

The fourth proportional to 462.28, 637.98 and 448.60 is: 619.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.28 : 637.98 = 448.60 : x
  2. Step 2: Convert to fraction form
    462.28/637.98 = 448.60/x
  3. Step 3: Cross multiply
    462.28x = 637.98 × 448.60
  4. Step 4: Simplify right side
    462.28x = 286,197.83
  5. Step 5: Solve for x
    x = 286,197.83/462.28
  6. Step 6: Final answer
    x = 619.10

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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.