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Finding the Fourth Proportional to 468.07, 707.22 and 463.62

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Solution

The fourth proportional to 468.07, 707.22 and 463.62 is: 700.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.07 : 707.22 = 463.62 : x
  2. Step 2: Convert to fraction form
    468.07/707.22 = 463.62/x
  3. Step 3: Cross multiply
    468.07x = 707.22 × 463.62
  4. Step 4: Simplify right side
    468.07x = 327,881.34
  5. Step 5: Solve for x
    x = 327,881.34/468.07
  6. Step 6: Final answer
    x = 700.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.