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Finding the Fourth Proportional to 560.29, 840.95 and 286.57

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Solution

The fourth proportional to 560.29, 840.95 and 286.57 is: 430.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.29 : 840.95 = 286.57 : x
  2. Step 2: Convert to fraction form
    560.29/840.95 = 286.57/x
  3. Step 3: Cross multiply
    560.29x = 840.95 × 286.57
  4. Step 4: Simplify right side
    560.29x = 240,991.04
  5. Step 5: Solve for x
    x = 240,991.04/560.29
  6. Step 6: Final answer
    x = 430.12

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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.