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Finding the Fourth Proportional to 473.25, 710 and 180.75

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Solution

The fourth proportional to 473.25, 710 and 180.75 is: 271.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.25 : 710 = 180.75 : x
  2. Step 2: Convert to fraction form
    473.25/710 = 180.75/x
  3. Step 3: Cross multiply
    473.25x = 710 × 180.75
  4. Step 4: Simplify right side
    473.25x = 128,332.50
  5. Step 5: Solve for x
    x = 128,332.50/473.25
  6. Step 6: Final answer
    x = 271.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.