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Finding the Fourth Proportional to 287.04, 397.95 and 277.02

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Solution

The fourth proportional to 287.04, 397.95 and 277.02 is: 384.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.04 : 397.95 = 277.02 : x
  2. Step 2: Convert to fraction form
    287.04/397.95 = 277.02/x
  3. Step 3: Cross multiply
    287.04x = 397.95 × 277.02
  4. Step 4: Simplify right side
    287.04x = 110,240.11
  5. Step 5: Solve for x
    x = 110,240.11/287.04
  6. Step 6: Final answer
    x = 384.06

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.