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Finding the Fourth Proportional to 561.60, 775.08 and 365.28

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Solution

The fourth proportional to 561.60, 775.08 and 365.28 is: 504.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.60 : 775.08 = 365.28 : x
  2. Step 2: Convert to fraction form
    561.60/775.08 = 365.28/x
  3. Step 3: Cross multiply
    561.60x = 775.08 × 365.28
  4. Step 4: Simplify right side
    561.60x = 283,121.22
  5. Step 5: Solve for x
    x = 283,121.22/561.60
  6. Step 6: Final answer
    x = 504.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.