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Finding the Fourth Proportional to 464.17, 696.65 and 291.17

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Solution

The fourth proportional to 464.17, 696.65 and 291.17 is: 437.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.17 : 696.65 = 291.17 : x
  2. Step 2: Convert to fraction form
    464.17/696.65 = 291.17/x
  3. Step 3: Cross multiply
    464.17x = 696.65 × 291.17
  4. Step 4: Simplify right side
    464.17x = 202,843.58
  5. Step 5: Solve for x
    x = 202,843.58/464.17
  6. Step 6: Final answer
    x = 437.01

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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.