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Finding the Fourth Proportional to 561.71, 842.42 and 356.00

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Solution

The fourth proportional to 561.71, 842.42 and 356.00 is: 533.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.71 : 842.42 = 356.00 : x
  2. Step 2: Convert to fraction form
    561.71/842.42 = 356.00/x
  3. Step 3: Cross multiply
    561.71x = 842.42 × 356.00
  4. Step 4: Simplify right side
    561.71x = 299,898.20
  5. Step 5: Solve for x
    x = 299,898.20/561.71
  6. Step 6: Final answer
    x = 533.90

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Why These Related Problems?

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