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Finding the Fourth Proportional to 491.61, 737.78 and 297.02

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Solution

The fourth proportional to 491.61, 737.78 and 297.02 is: 445.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.61 : 737.78 = 297.02 : x
  2. Step 2: Convert to fraction form
    491.61/737.78 = 297.02/x
  3. Step 3: Cross multiply
    491.61x = 737.78 × 297.02
  4. Step 4: Simplify right side
    491.61x = 219,130.24
  5. Step 5: Solve for x
    x = 219,130.24/491.61
  6. Step 6: Final answer
    x = 445.74

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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.