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Finding the Fourth Proportional to 598.52, 825.76 and 402.10

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Solution

The fourth proportional to 598.52, 825.76 and 402.10 is: 554.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.52 : 825.76 = 402.10 : x
  2. Step 2: Convert to fraction form
    598.52/825.76 = 402.10/x
  3. Step 3: Cross multiply
    598.52x = 825.76 × 402.10
  4. Step 4: Simplify right side
    598.52x = 332,038.10
  5. Step 5: Solve for x
    x = 332,038.10/598.52
  6. Step 6: Final answer
    x = 554.77

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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.