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Finding the Fourth Proportional to 491.64, 737.46 and 465.72

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Solution

The fourth proportional to 491.64, 737.46 and 465.72 is: 698.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.64 : 737.46 = 465.72 : x
  2. Step 2: Convert to fraction form
    491.64/737.46 = 465.72/x
  3. Step 3: Cross multiply
    491.64x = 737.46 × 465.72
  4. Step 4: Simplify right side
    491.64x = 343,449.87
  5. Step 5: Solve for x
    x = 343,449.87/491.64
  6. Step 6: Final answer
    x = 698.58

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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.