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Finding the Fourth Proportional to 473.32, 708.54 and 400.60

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Solution

The fourth proportional to 473.32, 708.54 and 400.60 is: 599.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.32 : 708.54 = 400.60 : x
  2. Step 2: Convert to fraction form
    473.32/708.54 = 400.60/x
  3. Step 3: Cross multiply
    473.32x = 708.54 × 400.60
  4. Step 4: Simplify right side
    473.32x = 283,841.12
  5. Step 5: Solve for x
    x = 283,841.12/473.32
  6. Step 6: Final answer
    x = 599.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.