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Finding the Fourth Proportional to 600.48, 829.08 and 390.78

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Solution

The fourth proportional to 600.48, 829.08 and 390.78 is: 539.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.48 : 829.08 = 390.78 : x
  2. Step 2: Convert to fraction form
    600.48/829.08 = 390.78/x
  3. Step 3: Cross multiply
    600.48x = 829.08 × 390.78
  4. Step 4: Simplify right side
    600.48x = 323,987.88
  5. Step 5: Solve for x
    x = 323,987.88/600.48
  6. Step 6: Final answer
    x = 539.55

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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.