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Finding the Fourth Proportional to 561.66, 841.48 and 437.84

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Solution

The fourth proportional to 561.66, 841.48 and 437.84 is: 655.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.66 : 841.48 = 437.84 : x
  2. Step 2: Convert to fraction form
    561.66/841.48 = 437.84/x
  3. Step 3: Cross multiply
    561.66x = 841.48 × 437.84
  4. Step 4: Simplify right side
    561.66x = 368,429.94
  5. Step 5: Solve for x
    x = 368,429.94/561.66
  6. Step 6: Final answer
    x = 655.96

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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.