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Finding the Fourth Proportional to 652.56, 900.54 and 390.54

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Solution

The fourth proportional to 652.56, 900.54 and 390.54 is: 538.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.56 : 900.54 = 390.54 : x
  2. Step 2: Convert to fraction form
    652.56/900.54 = 390.54/x
  3. Step 3: Cross multiply
    652.56x = 900.54 × 390.54
  4. Step 4: Simplify right side
    652.56x = 351,696.89
  5. Step 5: Solve for x
    x = 351,696.89/652.56
  6. Step 6: Final answer
    x = 538.95

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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.