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Finding the Fourth Proportional to 652.32, 900.24 and 390.48

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Solution

The fourth proportional to 652.32, 900.24 and 390.48 is: 538.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.32 : 900.24 = 390.48 : x
  2. Step 2: Convert to fraction form
    652.32/900.24 = 390.48/x
  3. Step 3: Cross multiply
    652.32x = 900.24 × 390.48
  4. Step 4: Simplify right side
    652.32x = 351,525.72
  5. Step 5: Solve for x
    x = 351,525.72/652.32
  6. Step 6: Final answer
    x = 538.89

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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.