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Finding the Fourth Proportional to 652.37, 900.27 and 357.64

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Solution

The fourth proportional to 652.37, 900.27 and 357.64 is: 493.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.37 : 900.27 = 357.64 : x
  2. Step 2: Convert to fraction form
    652.37/900.27 = 357.64/x
  3. Step 3: Cross multiply
    652.37x = 900.27 × 357.64
  4. Step 4: Simplify right side
    652.37x = 321,968.06
  5. Step 5: Solve for x
    x = 321,968.06/652.37
  6. Step 6: Final answer
    x = 493.54

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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.