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Finding the Fourth Proportional to 600.53, 895.41 and 589.59

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Solution

The fourth proportional to 600.53, 895.41 and 589.59 is: 879.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.53 : 895.41 = 589.59 : x
  2. Step 2: Convert to fraction form
    600.53/895.41 = 589.59/x
  3. Step 3: Cross multiply
    600.53x = 895.41 × 589.59
  4. Step 4: Simplify right side
    600.53x = 527,924.78
  5. Step 5: Solve for x
    x = 527,924.78/600.53
  6. Step 6: Final answer
    x = 879.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.