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Finding the Fourth Proportional to 670.52, 1,005.66 and 280.46

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Solution

The fourth proportional to 670.52, 1,005.66 and 280.46 is: 420.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.52 : 1,005.66 = 280.46 : x
  2. Step 2: Convert to fraction form
    670.52/1,005.66 = 280.46/x
  3. Step 3: Cross multiply
    670.52x = 1,005.66 × 280.46
  4. Step 4: Simplify right side
    670.52x = 282,047.40
  5. Step 5: Solve for x
    x = 282,047.40/670.52
  6. Step 6: Final answer
    x = 420.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.