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Finding the Fourth Proportional to 582.81, 874.51 and 377.32

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Solution

The fourth proportional to 582.81, 874.51 and 377.32 is: 566.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.81 : 874.51 = 377.32 : x
  2. Step 2: Convert to fraction form
    582.81/874.51 = 377.32/x
  3. Step 3: Cross multiply
    582.81x = 874.51 × 377.32
  4. Step 4: Simplify right side
    582.81x = 329,970.75
  5. Step 5: Solve for x
    x = 329,970.75/582.81
  6. Step 6: Final answer
    x = 566.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.