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Finding the Fourth Proportional to 917.85, 1,377 and 362.60

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Solution

The fourth proportional to 917.85, 1,377 and 362.60 is: 543.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.85 : 1,377 = 362.60 : x
  2. Step 2: Convert to fraction form
    917.85/1,377 = 362.60/x
  3. Step 3: Cross multiply
    917.85x = 1,377 × 362.60
  4. Step 4: Simplify right side
    917.85x = 499,298.48
  5. Step 5: Solve for x
    x = 499,298.48/917.85
  6. Step 6: Final answer
    x = 543.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.