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Finding the Fourth Proportional to 287.36, 428.95 and 263.01

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Solution

The fourth proportional to 287.36, 428.95 and 263.01 is: 392.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.36 : 428.95 = 263.01 : x
  2. Step 2: Convert to fraction form
    287.36/428.95 = 263.01/x
  3. Step 3: Cross multiply
    287.36x = 428.95 × 263.01
  4. Step 4: Simplify right side
    287.36x = 112,818.60
  5. Step 5: Solve for x
    x = 112,818.60/287.36
  6. Step 6: Final answer
    x = 392.60

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.