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Finding the Fourth Proportional to 630.59, 947.09 and 357.21

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Solution

The fourth proportional to 630.59, 947.09 and 357.21 is: 536.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.59 : 947.09 = 357.21 : x
  2. Step 2: Convert to fraction form
    630.59/947.09 = 357.21/x
  3. Step 3: Cross multiply
    630.59x = 947.09 × 357.21
  4. Step 4: Simplify right side
    630.59x = 338,310.91
  5. Step 5: Solve for x
    x = 338,310.91/630.59
  6. Step 6: Final answer
    x = 536.50

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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.