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Finding the Fourth Proportional to 906.24, 1,357.65 and 473.70

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Solution

The fourth proportional to 906.24, 1,357.65 and 473.70 is: 709.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.24 : 1,357.65 = 473.70 : x
  2. Step 2: Convert to fraction form
    906.24/1,357.65 = 473.70/x
  3. Step 3: Cross multiply
    906.24x = 1,357.65 × 473.70
  4. Step 4: Simplify right side
    906.24x = 643,118.81
  5. Step 5: Solve for x
    x = 643,118.81/906.24
  6. Step 6: Final answer
    x = 709.66

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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.