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Finding the Fourth Proportional to 472.64, 708.69 and 253.00

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Solution

The fourth proportional to 472.64, 708.69 and 253.00 is: 379.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.64 : 708.69 = 253.00 : x
  2. Step 2: Convert to fraction form
    472.64/708.69 = 253.00/x
  3. Step 3: Cross multiply
    472.64x = 708.69 × 253.00
  4. Step 4: Simplify right side
    472.64x = 179,296.80
  5. Step 5: Solve for x
    x = 179,296.80/472.64
  6. Step 6: Final answer
    x = 379.35

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