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Finding the Fourth Proportional to 469.53, 653.13 and 460.62

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Solution

The fourth proportional to 469.53, 653.13 and 460.62 is: 640.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.53 : 653.13 = 460.62 : x
  2. Step 2: Convert to fraction form
    469.53/653.13 = 460.62/x
  3. Step 3: Cross multiply
    469.53x = 653.13 × 460.62
  4. Step 4: Simplify right side
    469.53x = 300,844.74
  5. Step 5: Solve for x
    x = 300,844.74/469.53
  6. Step 6: Final answer
    x = 640.74

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.