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Finding the Fourth Proportional to 557.53, 835.36 and 340.66

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Solution

The fourth proportional to 557.53, 835.36 and 340.66 is: 510.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.53 : 835.36 = 340.66 : x
  2. Step 2: Convert to fraction form
    557.53/835.36 = 340.66/x
  3. Step 3: Cross multiply
    557.53x = 835.36 × 340.66
  4. Step 4: Simplify right side
    557.53x = 284,573.74
  5. Step 5: Solve for x
    x = 284,573.74/557.53
  6. Step 6: Final answer
    x = 510.42

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Why These Related Problems?

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