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Finding the Fourth Proportional to 652.68, 900.65 and 357.95

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Solution

The fourth proportional to 652.68, 900.65 and 357.95 is: 493.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.68 : 900.65 = 357.95 : x
  2. Step 2: Convert to fraction form
    652.68/900.65 = 357.95/x
  3. Step 3: Cross multiply
    652.68x = 900.65 × 357.95
  4. Step 4: Simplify right side
    652.68x = 322,385.59
  5. Step 5: Solve for x
    x = 322,385.59/652.68
  6. Step 6: Final answer
    x = 493.94

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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.