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Finding the Fourth Proportional to 469.76, 698.56 and 465.92

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Solution

The fourth proportional to 469.76, 698.56 and 465.92 is: 692.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.76 : 698.56 = 465.92 : x
  2. Step 2: Convert to fraction form
    469.76/698.56 = 465.92/x
  3. Step 3: Cross multiply
    469.76x = 698.56 × 465.92
  4. Step 4: Simplify right side
    469.76x = 325,473.08
  5. Step 5: Solve for x
    x = 325,473.08/469.76
  6. Step 6: Final answer
    x = 692.85

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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.