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Finding the Fourth Proportional to 602.16, 898.04 and 589.96

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Solution

The fourth proportional to 602.16, 898.04 and 589.96 is: 879.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.16 : 898.04 = 589.96 : x
  2. Step 2: Convert to fraction form
    602.16/898.04 = 589.96/x
  3. Step 3: Cross multiply
    602.16x = 898.04 × 589.96
  4. Step 4: Simplify right side
    602.16x = 529,807.68
  5. Step 5: Solve for x
    x = 529,807.68/602.16
  6. Step 6: Final answer
    x = 879.85

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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.