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Finding the Fourth Proportional to 600.32, 895.43 and 582.10

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Solution

The fourth proportional to 600.32, 895.43 and 582.10 is: 868.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.32 : 895.43 = 582.10 : x
  2. Step 2: Convert to fraction form
    600.32/895.43 = 582.10/x
  3. Step 3: Cross multiply
    600.32x = 895.43 × 582.10
  4. Step 4: Simplify right side
    600.32x = 521,226.89
  5. Step 5: Solve for x
    x = 521,226.89/600.32
  6. Step 6: Final answer
    x = 868.25

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