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Finding the Fourth Proportional to 611.16, 917.10 and 286.53

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Solution

The fourth proportional to 611.16, 917.10 and 286.53 is: 429.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.16 : 917.10 = 286.53 : x
  2. Step 2: Convert to fraction form
    611.16/917.10 = 286.53/x
  3. Step 3: Cross multiply
    611.16x = 917.10 × 286.53
  4. Step 4: Simplify right side
    611.16x = 262,776.66
  5. Step 5: Solve for x
    x = 262,776.66/611.16
  6. Step 6: Final answer
    x = 429.96

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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.