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Finding the Fourth Proportional to 652.68, 900.78 and 390.66

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Solution

The fourth proportional to 652.68, 900.78 and 390.66 is: 539.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.68 : 900.78 = 390.66 : x
  2. Step 2: Convert to fraction form
    652.68/900.78 = 390.66/x
  3. Step 3: Cross multiply
    652.68x = 900.78 × 390.66
  4. Step 4: Simplify right side
    652.68x = 351,898.71
  5. Step 5: Solve for x
    x = 351,898.71/652.68
  6. Step 6: Final answer
    x = 539.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.