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Finding the Fourth Proportional to 465.93, 643.07 and 288.93

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Solution

The fourth proportional to 465.93, 643.07 and 288.93 is: 398.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.93 : 643.07 = 288.93 : x
  2. Step 2: Convert to fraction form
    465.93/643.07 = 288.93/x
  3. Step 3: Cross multiply
    465.93x = 643.07 × 288.93
  4. Step 4: Simplify right side
    465.93x = 185,800.77
  5. Step 5: Solve for x
    x = 185,800.77/465.93
  6. Step 6: Final answer
    x = 398.77

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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.