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Finding the Fourth Proportional to 465.08, 688.92 and 459.90

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Solution

The fourth proportional to 465.08, 688.92 and 459.90 is: 681.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.08 : 688.92 = 459.90 : x
  2. Step 2: Convert to fraction form
    465.08/688.92 = 459.90/x
  3. Step 3: Cross multiply
    465.08x = 688.92 × 459.90
  4. Step 4: Simplify right side
    465.08x = 316,830.00
  5. Step 5: Solve for x
    x = 316,830.00/465.08
  6. Step 6: Final answer
    x = 681.24

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.