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Finding the Fourth Proportional to 652.58, 900.31 and 416.53

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Solution

The fourth proportional to 652.58, 900.31 and 416.53 is: 574.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.58 : 900.31 = 416.53 : x
  2. Step 2: Convert to fraction form
    652.58/900.31 = 416.53/x
  3. Step 3: Cross multiply
    652.58x = 900.31 × 416.53
  4. Step 4: Simplify right side
    652.58x = 375,009.52
  5. Step 5: Solve for x
    x = 375,009.52/652.58
  6. Step 6: Final answer
    x = 574.66

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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.