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Finding the Fourth Proportional to 562.89, 844.33 and 152.02

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Solution

The fourth proportional to 562.89, 844.33 and 152.02 is: 228.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.89 : 844.33 = 152.02 : x
  2. Step 2: Convert to fraction form
    562.89/844.33 = 152.02/x
  3. Step 3: Cross multiply
    562.89x = 844.33 × 152.02
  4. Step 4: Simplify right side
    562.89x = 128,357.86
  5. Step 5: Solve for x
    x = 128,357.86/562.89
  6. Step 6: Final answer
    x = 228.03

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Why These Related Problems?

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