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Finding the Fourth Proportional to 560.96, 840.06 and 286.66

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Solution

The fourth proportional to 560.96, 840.06 and 286.66 is: 429.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.96 : 840.06 = 286.66 : x
  2. Step 2: Convert to fraction form
    560.96/840.06 = 286.66/x
  3. Step 3: Cross multiply
    560.96x = 840.06 × 286.66
  4. Step 4: Simplify right side
    560.96x = 240,811.60
  5. Step 5: Solve for x
    x = 240,811.60/560.96
  6. Step 6: Final answer
    x = 429.28

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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.