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Finding the Fourth Proportional to 404.24, 557.62 and 293.58

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Solution

The fourth proportional to 404.24, 557.62 and 293.58 is: 404.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.24 : 557.62 = 293.58 : x
  2. Step 2: Convert to fraction form
    404.24/557.62 = 293.58/x
  3. Step 3: Cross multiply
    404.24x = 557.62 × 293.58
  4. Step 4: Simplify right side
    404.24x = 163,705.35
  5. Step 5: Solve for x
    x = 163,705.35/404.24
  6. Step 6: Final answer
    x = 404.98

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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.