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Finding the Fourth Proportional to 597.74, 890.75 and 578.17

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Solution

The fourth proportional to 597.74, 890.75 and 578.17 is: 861.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.74 : 890.75 = 578.17 : x
  2. Step 2: Convert to fraction form
    597.74/890.75 = 578.17/x
  3. Step 3: Cross multiply
    597.74x = 890.75 × 578.17
  4. Step 4: Simplify right side
    597.74x = 515,004.93
  5. Step 5: Solve for x
    x = 515,004.93/597.74
  6. Step 6: Final answer
    x = 861.59

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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.