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Finding the Fourth Proportional to 401.61, 554.61 and 277.59

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Solution

The fourth proportional to 401.61, 554.61 and 277.59 is: 383.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.61 : 554.61 = 277.59 : x
  2. Step 2: Convert to fraction form
    401.61/554.61 = 277.59/x
  3. Step 3: Cross multiply
    401.61x = 554.61 × 277.59
  4. Step 4: Simplify right side
    401.61x = 153,954.19
  5. Step 5: Solve for x
    x = 153,954.19/401.61
  6. Step 6: Final answer
    x = 383.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.