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Finding the Fourth Proportional to 464.70, 641.07 and 290.01

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Solution

The fourth proportional to 464.70, 641.07 and 290.01 is: 400.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.70 : 641.07 = 290.01 : x
  2. Step 2: Convert to fraction form
    464.70/641.07 = 290.01/x
  3. Step 3: Cross multiply
    464.70x = 641.07 × 290.01
  4. Step 4: Simplify right side
    464.70x = 185,916.71
  5. Step 5: Solve for x
    x = 185,916.71/464.70
  6. Step 6: Final answer
    x = 400.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.