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Finding the Fourth Proportional to 473.71, 709.14 and 256.63

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Solution

The fourth proportional to 473.71, 709.14 and 256.63 is: 384.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.71 : 709.14 = 256.63 : x
  2. Step 2: Convert to fraction form
    473.71/709.14 = 256.63/x
  3. Step 3: Cross multiply
    473.71x = 709.14 × 256.63
  4. Step 4: Simplify right side
    473.71x = 181,986.60
  5. Step 5: Solve for x
    x = 181,986.60/473.71
  6. Step 6: Final answer
    x = 384.17

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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.