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Finding the Fourth Proportional to 557.66, 835.14 and 340.58

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Solution

The fourth proportional to 557.66, 835.14 and 340.58 is: 510.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.66 : 835.14 = 340.58 : x
  2. Step 2: Convert to fraction form
    557.66/835.14 = 340.58/x
  3. Step 3: Cross multiply
    557.66x = 835.14 × 340.58
  4. Step 4: Simplify right side
    557.66x = 284,431.98
  5. Step 5: Solve for x
    x = 284,431.98/557.66
  6. Step 6: Final answer
    x = 510.05

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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.