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Finding the Fourth Proportional to 473.58, 649.22 and 466.02

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Solution

The fourth proportional to 473.58, 649.22 and 466.02 is: 638.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.58 : 649.22 = 466.02 : x
  2. Step 2: Convert to fraction form
    473.58/649.22 = 466.02/x
  3. Step 3: Cross multiply
    473.58x = 649.22 × 466.02
  4. Step 4: Simplify right side
    473.58x = 302,547.17
  5. Step 5: Solve for x
    x = 302,547.17/473.58
  6. Step 6: Final answer
    x = 638.85

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.