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Finding the Fourth Proportional to 473.00, 709.70 and 256.50

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Solution

The fourth proportional to 473.00, 709.70 and 256.50 is: 384.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.00 : 709.70 = 256.50 : x
  2. Step 2: Convert to fraction form
    473.00/709.70 = 256.50/x
  3. Step 3: Cross multiply
    473.00x = 709.70 × 256.50
  4. Step 4: Simplify right side
    473.00x = 182,036.77
  5. Step 5: Solve for x
    x = 182,036.77/473.00
  6. Step 6: Final answer
    x = 384.86

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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.