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Finding the Fourth Proportional to 589.32, 880.65 and 575.64

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Solution

The fourth proportional to 589.32, 880.65 and 575.64 is: 860.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.32 : 880.65 = 575.64 : x
  2. Step 2: Convert to fraction form
    589.32/880.65 = 575.64/x
  3. Step 3: Cross multiply
    589.32x = 880.65 × 575.64
  4. Step 4: Simplify right side
    589.32x = 506,937.37
  5. Step 5: Solve for x
    x = 506,937.37/589.32
  6. Step 6: Final answer
    x = 860.21

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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.