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Finding the Fourth Proportional to 598.50, 825.02 and 515.16

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Solution

The fourth proportional to 598.50, 825.02 and 515.16 is: 710.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.50 : 825.02 = 515.16 : x
  2. Step 2: Convert to fraction form
    598.50/825.02 = 515.16/x
  3. Step 3: Cross multiply
    598.50x = 825.02 × 515.16
  4. Step 4: Simplify right side
    598.50x = 425,017.30
  5. Step 5: Solve for x
    x = 425,017.30/598.50
  6. Step 6: Final answer
    x = 710.14

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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.