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Finding the Fourth Proportional to 561.98, 841.54 and 470.46

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Solution

The fourth proportional to 561.98, 841.54 and 470.46 is: 704.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.98 : 841.54 = 470.46 : x
  2. Step 2: Convert to fraction form
    561.98/841.54 = 470.46/x
  3. Step 3: Cross multiply
    561.98x = 841.54 × 470.46
  4. Step 4: Simplify right side
    561.98x = 395,910.91
  5. Step 5: Solve for x
    x = 395,910.91/561.98
  6. Step 6: Final answer
    x = 704.49

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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.