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Finding the Fourth Proportional to 561.42, 841.41 and 496.17

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Solution

The fourth proportional to 561.42, 841.41 and 496.17 is: 743.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.42 : 841.41 = 496.17 : x
  2. Step 2: Convert to fraction form
    561.42/841.41 = 496.17/x
  3. Step 3: Cross multiply
    561.42x = 841.41 × 496.17
  4. Step 4: Simplify right side
    561.42x = 417,482.40
  5. Step 5: Solve for x
    x = 417,482.40/561.42
  6. Step 6: Final answer
    x = 743.62

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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.