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Finding the Fourth Proportional to 599.32, 898.30 and 355.10

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Solution

The fourth proportional to 599.32, 898.30 and 355.10 is: 532.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.32 : 898.30 = 355.10 : x
  2. Step 2: Convert to fraction form
    599.32/898.30 = 355.10/x
  3. Step 3: Cross multiply
    599.32x = 898.30 × 355.10
  4. Step 4: Simplify right side
    599.32x = 318,986.33
  5. Step 5: Solve for x
    x = 318,986.33/599.32
  6. Step 6: Final answer
    x = 532.25

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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.