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Finding the Fourth Proportional to 466.01, 642.89 and 288.93

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Solution

The fourth proportional to 466.01, 642.89 and 288.93 is: 398.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.01 : 642.89 = 288.93 : x
  2. Step 2: Convert to fraction form
    466.01/642.89 = 288.93/x
  3. Step 3: Cross multiply
    466.01x = 642.89 × 288.93
  4. Step 4: Simplify right side
    466.01x = 185,746.99
  5. Step 5: Solve for x
    x = 185,746.99/466.01
  6. Step 6: Final answer
    x = 398.59

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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.