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Finding the Fourth Proportional to 599.16, 897.24 and 382.08

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Solution

The fourth proportional to 599.16, 897.24 and 382.08 is: 572.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.16 : 897.24 = 382.08 : x
  2. Step 2: Convert to fraction form
    599.16/897.24 = 382.08/x
  3. Step 3: Cross multiply
    599.16x = 897.24 × 382.08
  4. Step 4: Simplify right side
    599.16x = 342,817.46
  5. Step 5: Solve for x
    x = 342,817.46/599.16
  6. Step 6: Final answer
    x = 572.16

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Why These Related Problems?

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