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Finding the Fourth Proportional to 598.18, 895.91 and 290.25

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Solution

The fourth proportional to 598.18, 895.91 and 290.25 is: 434.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.18 : 895.91 = 290.25 : x
  2. Step 2: Convert to fraction form
    598.18/895.91 = 290.25/x
  3. Step 3: Cross multiply
    598.18x = 895.91 × 290.25
  4. Step 4: Simplify right side
    598.18x = 260,037.88
  5. Step 5: Solve for x
    x = 260,037.88/598.18
  6. Step 6: Final answer
    x = 434.72

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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.