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Finding the Fourth Proportional to 597.82, 902.08 and 575.32

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Solution

The fourth proportional to 597.82, 902.08 and 575.32 is: 868.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.82 : 902.08 = 575.32 : x
  2. Step 2: Convert to fraction form
    597.82/902.08 = 575.32/x
  3. Step 3: Cross multiply
    597.82x = 902.08 × 575.32
  4. Step 4: Simplify right side
    597.82x = 518,984.67
  5. Step 5: Solve for x
    x = 518,984.67/597.82
  6. Step 6: Final answer
    x = 868.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.