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Finding the Fourth Proportional to 637.82, 957.05 and 291.10

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Solution

The fourth proportional to 637.82, 957.05 and 291.10 is: 436.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.82 : 957.05 = 291.10 : x
  2. Step 2: Convert to fraction form
    637.82/957.05 = 291.10/x
  3. Step 3: Cross multiply
    637.82x = 957.05 × 291.10
  4. Step 4: Simplify right side
    637.82x = 278,597.26
  5. Step 5: Solve for x
    x = 278,597.26/637.82
  6. Step 6: Final answer
    x = 436.80

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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.