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Finding the Fourth Proportional to 554.50, 832.14 and 265.96

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Solution

The fourth proportional to 554.50, 832.14 and 265.96 is: 399.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.50 : 832.14 = 265.96 : x
  2. Step 2: Convert to fraction form
    554.50/832.14 = 265.96/x
  3. Step 3: Cross multiply
    554.50x = 832.14 × 265.96
  4. Step 4: Simplify right side
    554.50x = 221,315.95
  5. Step 5: Solve for x
    x = 221,315.95/554.50
  6. Step 6: Final answer
    x = 399.13

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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.