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Finding the Fourth Proportional to 473.19, 653.31 and 440.52

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Solution

The fourth proportional to 473.19, 653.31 and 440.52 is: 608.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.19 : 653.31 = 440.52 : x
  2. Step 2: Convert to fraction form
    473.19/653.31 = 440.52/x
  3. Step 3: Cross multiply
    473.19x = 653.31 × 440.52
  4. Step 4: Simplify right side
    473.19x = 287,796.12
  5. Step 5: Solve for x
    x = 287,796.12/473.19
  6. Step 6: Final answer
    x = 608.20

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