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Finding the Fourth Proportional to 841.00, 1,261.49 and 353.71

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Solution

The fourth proportional to 841.00, 1,261.49 and 353.71 is: 530.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.00 : 1,261.49 = 353.71 : x
  2. Step 2: Convert to fraction form
    841.00/1,261.49 = 353.71/x
  3. Step 3: Cross multiply
    841.00x = 1,261.49 × 353.71
  4. Step 4: Simplify right side
    841.00x = 446,196.71
  5. Step 5: Solve for x
    x = 446,196.71/841.00
  6. Step 6: Final answer
    x = 530.56

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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.