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Finding the Fourth Proportional to 652.24, 977.40 and 469.76

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Solution

The fourth proportional to 652.24, 977.40 and 469.76 is: 703.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.24 : 977.40 = 469.76 : x
  2. Step 2: Convert to fraction form
    652.24/977.40 = 469.76/x
  3. Step 3: Cross multiply
    652.24x = 977.40 × 469.76
  4. Step 4: Simplify right side
    652.24x = 459,143.42
  5. Step 5: Solve for x
    x = 459,143.42/652.24
  6. Step 6: Final answer
    x = 703.95

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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.