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Finding the Fourth Proportional to 465.76, 697.82 and 456.04

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Solution

The fourth proportional to 465.76, 697.82 and 456.04 is: 683.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.76 : 697.82 = 456.04 : x
  2. Step 2: Convert to fraction form
    465.76/697.82 = 456.04/x
  3. Step 3: Cross multiply
    465.76x = 697.82 × 456.04
  4. Step 4: Simplify right side
    465.76x = 318,233.83
  5. Step 5: Solve for x
    x = 318,233.83/465.76
  6. Step 6: Final answer
    x = 683.26

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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.