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Finding the Fourth Proportional to 562.90, 842.55 and 302.25

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Solution

The fourth proportional to 562.90, 842.55 and 302.25 is: 452.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.90 : 842.55 = 302.25 : x
  2. Step 2: Convert to fraction form
    562.90/842.55 = 302.25/x
  3. Step 3: Cross multiply
    562.90x = 842.55 × 302.25
  4. Step 4: Simplify right side
    562.90x = 254,660.74
  5. Step 5: Solve for x
    x = 254,660.74/562.90
  6. Step 6: Final answer
    x = 452.41

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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.