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Finding the Fourth Proportional to 598.10, 898.97 and 585.35

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Solution

The fourth proportional to 598.10, 898.97 and 585.35 is: 879.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.10 : 898.97 = 585.35 : x
  2. Step 2: Convert to fraction form
    598.10/898.97 = 585.35/x
  3. Step 3: Cross multiply
    598.10x = 898.97 × 585.35
  4. Step 4: Simplify right side
    598.10x = 526,204.67
  5. Step 5: Solve for x
    x = 526,204.67/598.10
  6. Step 6: Final answer
    x = 879.80

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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.