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Finding the Fourth Proportional to 554.62, 832.50 and 266.26

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Solution

The fourth proportional to 554.62, 832.50 and 266.26 is: 399.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.62 : 832.50 = 266.26 : x
  2. Step 2: Convert to fraction form
    554.62/832.50 = 266.26/x
  3. Step 3: Cross multiply
    554.62x = 832.50 × 266.26
  4. Step 4: Simplify right side
    554.62x = 221,661.45
  5. Step 5: Solve for x
    x = 221,661.45/554.62
  6. Step 6: Final answer
    x = 399.66

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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.