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Finding the Fourth Proportional to 598.10, 895.98 and 488.54

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Solution

The fourth proportional to 598.10, 895.98 and 488.54 is: 731.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.10 : 895.98 = 488.54 : x
  2. Step 2: Convert to fraction form
    598.10/895.98 = 488.54/x
  3. Step 3: Cross multiply
    598.10x = 895.98 × 488.54
  4. Step 4: Simplify right side
    598.10x = 437,722.07
  5. Step 5: Solve for x
    x = 437,722.07/598.10
  6. Step 6: Final answer
    x = 731.85

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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.