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Finding the Fourth Proportional to 491.95, 736.10 and 453.22

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Solution

The fourth proportional to 491.95, 736.10 and 453.22 is: 678.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.95 : 736.10 = 453.22 : x
  2. Step 2: Convert to fraction form
    491.95/736.10 = 453.22/x
  3. Step 3: Cross multiply
    491.95x = 736.10 × 453.22
  4. Step 4: Simplify right side
    491.95x = 333,615.24
  5. Step 5: Solve for x
    x = 333,615.24/491.95
  6. Step 6: Final answer
    x = 678.15

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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.