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Finding the Fourth Proportional to 557.58, 835.16 and 442.16

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Solution

The fourth proportional to 557.58, 835.16 and 442.16 is: 662.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.58 : 835.16 = 442.16 : x
  2. Step 2: Convert to fraction form
    557.58/835.16 = 442.16/x
  3. Step 3: Cross multiply
    557.58x = 835.16 × 442.16
  4. Step 4: Simplify right side
    557.58x = 369,267.96
  5. Step 5: Solve for x
    x = 369,267.96/557.58
  6. Step 6: Final answer
    x = 662.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.