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Finding the Fourth Proportional to 464.40, 697.28 and 282.62

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Solution

The fourth proportional to 464.40, 697.28 and 282.62 is: 424.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.40 : 697.28 = 282.62 : x
  2. Step 2: Convert to fraction form
    464.40/697.28 = 282.62/x
  3. Step 3: Cross multiply
    464.40x = 697.28 × 282.62
  4. Step 4: Simplify right side
    464.40x = 197,065.60
  5. Step 5: Solve for x
    x = 197,065.60/464.40
  6. Step 6: Final answer
    x = 424.34

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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.