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Finding the Fourth Proportional to 561.48, 774.40 and 365.20

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Solution

The fourth proportional to 561.48, 774.40 and 365.20 is: 503.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.48 : 774.40 = 365.20 : x
  2. Step 2: Convert to fraction form
    561.48/774.40 = 365.20/x
  3. Step 3: Cross multiply
    561.48x = 774.40 × 365.20
  4. Step 4: Simplify right side
    561.48x = 282,810.88
  5. Step 5: Solve for x
    x = 282,810.88/561.48
  6. Step 6: Final answer
    x = 503.69

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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.