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Finding the Fourth Proportional to 473.43, 707.00 and 468.35

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Solution

The fourth proportional to 473.43, 707.00 and 468.35 is: 699.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.43 : 707.00 = 468.35 : x
  2. Step 2: Convert to fraction form
    473.43/707.00 = 468.35/x
  3. Step 3: Cross multiply
    473.43x = 707.00 × 468.35
  4. Step 4: Simplify right side
    473.43x = 331,117.57
  5. Step 5: Solve for x
    x = 331,117.57/473.43
  6. Step 6: Final answer
    x = 699.40

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.