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Finding the Fourth Proportional to 473.25, 705.76 and 420.81

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Solution

The fourth proportional to 473.25, 705.76 and 420.81 is: 627.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.25 : 705.76 = 420.81 : x
  2. Step 2: Convert to fraction form
    473.25/705.76 = 420.81/x
  3. Step 3: Cross multiply
    473.25x = 705.76 × 420.81
  4. Step 4: Simplify right side
    473.25x = 296,988.76
  5. Step 5: Solve for x
    x = 296,988.76/473.25
  6. Step 6: Final answer
    x = 627.55

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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.