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Finding the Fourth Proportional to 561.64, 774.90 and 365.10

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Solution

The fourth proportional to 561.64, 774.90 and 365.10 is: 503.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.64 : 774.90 = 365.10 : x
  2. Step 2: Convert to fraction form
    561.64/774.90 = 365.10/x
  3. Step 3: Cross multiply
    561.64x = 774.90 × 365.10
  4. Step 4: Simplify right side
    561.64x = 282,915.99
  5. Step 5: Solve for x
    x = 282,915.99/561.64
  6. Step 6: Final answer
    x = 503.73

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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.