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Finding the Fourth Proportional to 597.20, 895.80 and 402.80

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Solution

The fourth proportional to 597.20, 895.80 and 402.80 is: 604.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.20 : 895.80 = 402.80 : x
  2. Step 2: Convert to fraction form
    597.20/895.80 = 402.80/x
  3. Step 3: Cross multiply
    597.20x = 895.80 × 402.80
  4. Step 4: Simplify right side
    597.20x = 360,828.24
  5. Step 5: Solve for x
    x = 360,828.24/597.20
  6. Step 6: Final answer
    x = 604.20

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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.