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Finding the Fourth Proportional to 954.04, 1,431 and 405.94

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Solution

The fourth proportional to 954.04, 1,431 and 405.94 is: 608.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.04 : 1,431 = 405.94 : x
  2. Step 2: Convert to fraction form
    954.04/1,431 = 405.94/x
  3. Step 3: Cross multiply
    954.04x = 1,431 × 405.94
  4. Step 4: Simplify right side
    954.04x = 580,900.14
  5. Step 5: Solve for x
    x = 580,900.14/954.04
  6. Step 6: Final answer
    x = 608.88

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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.