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Finding the Fourth Proportional to 599.16, 824.24 and 524.16

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Solution

The fourth proportional to 599.16, 824.24 and 524.16 is: 721.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.16 : 824.24 = 524.16 : x
  2. Step 2: Convert to fraction form
    599.16/824.24 = 524.16/x
  3. Step 3: Cross multiply
    599.16x = 824.24 × 524.16
  4. Step 4: Simplify right side
    599.16x = 432,031.02
  5. Step 5: Solve for x
    x = 432,031.02/599.16
  6. Step 6: Final answer
    x = 721.06

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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.