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Finding the Fourth Proportional to 415.48, 572.76 and 258.01

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Solution

The fourth proportional to 415.48, 572.76 and 258.01 is: 355.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.48 : 572.76 = 258.01 : x
  2. Step 2: Convert to fraction form
    415.48/572.76 = 258.01/x
  3. Step 3: Cross multiply
    415.48x = 572.76 × 258.01
  4. Step 4: Simplify right side
    415.48x = 147,777.81
  5. Step 5: Solve for x
    x = 147,777.81/415.48
  6. Step 6: Final answer
    x = 355.68

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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.