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Finding the Fourth Proportional to 918.03, 1,377.05 and 340.77

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Solution

The fourth proportional to 918.03, 1,377.05 and 340.77 is: 511.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.03 : 1,377.05 = 340.77 : x
  2. Step 2: Convert to fraction form
    918.03/1,377.05 = 340.77/x
  3. Step 3: Cross multiply
    918.03x = 1,377.05 × 340.77
  4. Step 4: Simplify right side
    918.03x = 469,255.62
  5. Step 5: Solve for x
    x = 469,255.62/918.03
  6. Step 6: Final answer
    x = 511.16

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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.