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Finding the Fourth Proportional to 473.22, 653.40 and 465.66

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Solution

The fourth proportional to 473.22, 653.40 and 465.66 is: 642.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.22 : 653.40 = 465.66 : x
  2. Step 2: Convert to fraction form
    473.22/653.40 = 465.66/x
  3. Step 3: Cross multiply
    473.22x = 653.40 × 465.66
  4. Step 4: Simplify right side
    473.22x = 304,262.24
  5. Step 5: Solve for x
    x = 304,262.24/473.22
  6. Step 6: Final answer
    x = 642.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.