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Finding the Fourth Proportional to 561.68, 841.98 and 301.49

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Solution

The fourth proportional to 561.68, 841.98 and 301.49 is: 451.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.68 : 841.98 = 301.49 : x
  2. Step 2: Convert to fraction form
    561.68/841.98 = 301.49/x
  3. Step 3: Cross multiply
    561.68x = 841.98 × 301.49
  4. Step 4: Simplify right side
    561.68x = 253,848.55
  5. Step 5: Solve for x
    x = 253,848.55/561.68
  6. Step 6: Final answer
    x = 451.95

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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.