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Finding the Fourth Proportional to 561.54, 774.48 and 384.60

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Solution

The fourth proportional to 561.54, 774.48 and 384.60 is: 530.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.54 : 774.48 = 384.60 : x
  2. Step 2: Convert to fraction form
    561.54/774.48 = 384.60/x
  3. Step 3: Cross multiply
    561.54x = 774.48 × 384.60
  4. Step 4: Simplify right side
    561.54x = 297,865.01
  5. Step 5: Solve for x
    x = 297,865.01/561.54
  6. Step 6: Final answer
    x = 530.44

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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.