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Finding the Fourth Proportional to 464.34, 695.40 and 268.76

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Solution

The fourth proportional to 464.34, 695.40 and 268.76 is: 402.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.34 : 695.40 = 268.76 : x
  2. Step 2: Convert to fraction form
    464.34/695.40 = 268.76/x
  3. Step 3: Cross multiply
    464.34x = 695.40 × 268.76
  4. Step 4: Simplify right side
    464.34x = 186,895.70
  5. Step 5: Solve for x
    x = 186,895.70/464.34
  6. Step 6: Final answer
    x = 402.50

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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.