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Finding the Fourth Proportional to 560.86, 841.05 and 286.81

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Solution

The fourth proportional to 560.86, 841.05 and 286.81 is: 430.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.86 : 841.05 = 286.81 : x
  2. Step 2: Convert to fraction form
    560.86/841.05 = 286.81/x
  3. Step 3: Cross multiply
    560.86x = 841.05 × 286.81
  4. Step 4: Simplify right side
    560.86x = 241,219.45
  5. Step 5: Solve for x
    x = 241,219.45/560.86
  6. Step 6: Final answer
    x = 430.09

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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.