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Finding the Fourth Proportional to 421.92, 577.13 and 415.58

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Solution

The fourth proportional to 421.92, 577.13 and 415.58 is: 568.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.92 : 577.13 = 415.58 : x
  2. Step 2: Convert to fraction form
    421.92/577.13 = 415.58/x
  3. Step 3: Cross multiply
    421.92x = 577.13 × 415.58
  4. Step 4: Simplify right side
    421.92x = 239,838.72
  5. Step 5: Solve for x
    x = 239,838.72/421.92
  6. Step 6: Final answer
    x = 568.45

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.