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Finding the Fourth Proportional to 589.32, 812.52 and 442.44

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Solution

The fourth proportional to 589.32, 812.52 and 442.44 is: 610.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.32 : 812.52 = 442.44 : x
  2. Step 2: Convert to fraction form
    589.32/812.52 = 442.44/x
  3. Step 3: Cross multiply
    589.32x = 812.52 × 442.44
  4. Step 4: Simplify right side
    589.32x = 359,491.35
  5. Step 5: Solve for x
    x = 359,491.35/589.32
  6. Step 6: Final answer
    x = 610.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.