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Finding the Fourth Proportional to 482.28, 718.47 and 464.86

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Solution

The fourth proportional to 482.28, 718.47 and 464.86 is: 692.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.28 : 718.47 = 464.86 : x
  2. Step 2: Convert to fraction form
    482.28/718.47 = 464.86/x
  3. Step 3: Cross multiply
    482.28x = 718.47 × 464.86
  4. Step 4: Simplify right side
    482.28x = 333,987.96
  5. Step 5: Solve for x
    x = 333,987.96/482.28
  6. Step 6: Final answer
    x = 692.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.