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Finding the Fourth Proportional to 610.04, 914.27 and 280.86

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Solution

The fourth proportional to 610.04, 914.27 and 280.86 is: 420.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.04 : 914.27 = 280.86 : x
  2. Step 2: Convert to fraction form
    610.04/914.27 = 280.86/x
  3. Step 3: Cross multiply
    610.04x = 914.27 × 280.86
  4. Step 4: Simplify right side
    610.04x = 256,780.47
  5. Step 5: Solve for x
    x = 256,780.47/610.04
  6. Step 6: Final answer
    x = 420.93

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1.5x scale

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.