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Finding the Fourth Proportional to 557.58, 835.89 and 264.93

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Solution

The fourth proportional to 557.58, 835.89 and 264.93 is: 397.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.58 : 835.89 = 264.93 : x
  2. Step 2: Convert to fraction form
    557.58/835.89 = 264.93/x
  3. Step 3: Cross multiply
    557.58x = 835.89 × 264.93
  4. Step 4: Simplify right side
    557.58x = 221,452.34
  5. Step 5: Solve for x
    x = 221,452.34/557.58
  6. Step 6: Final answer
    x = 397.17

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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.