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Finding the Fourth Proportional to 557.65, 836.21 and 297.58

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Solution

The fourth proportional to 557.65, 836.21 and 297.58 is: 446.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.65 : 836.21 = 297.58 : x
  2. Step 2: Convert to fraction form
    557.65/836.21 = 297.58/x
  3. Step 3: Cross multiply
    557.65x = 836.21 × 297.58
  4. Step 4: Simplify right side
    557.65x = 248,838.03
  5. Step 5: Solve for x
    x = 248,838.03/557.65
  6. Step 6: Final answer
    x = 446.23

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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.