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Finding the Fourth Proportional to 600.90, 829.09 and 470.90

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Solution

The fourth proportional to 600.90, 829.09 and 470.90 is: 649.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.90 : 829.09 = 470.90 : x
  2. Step 2: Convert to fraction form
    600.90/829.09 = 470.90/x
  3. Step 3: Cross multiply
    600.90x = 829.09 × 470.90
  4. Step 4: Simplify right side
    600.90x = 390,418.48
  5. Step 5: Solve for x
    x = 390,418.48/600.90
  6. Step 6: Final answer
    x = 649.72

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1.5x scale

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.