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Finding the Fourth Proportional to 606.10, 907.05 and 362.80

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Solution

The fourth proportional to 606.10, 907.05 and 362.80 is: 542.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.10 : 907.05 = 362.80 : x
  2. Step 2: Convert to fraction form
    606.10/907.05 = 362.80/x
  3. Step 3: Cross multiply
    606.10x = 907.05 × 362.80
  4. Step 4: Simplify right side
    606.10x = 329,077.74
  5. Step 5: Solve for x
    x = 329,077.74/606.10
  6. Step 6: Final answer
    x = 542.94

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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.