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Finding the Fourth Proportional to 954.71, 1,431.77 and 305.30

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Solution

The fourth proportional to 954.71, 1,431.77 and 305.30 is: 457.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.71 : 1,431.77 = 305.30 : x
  2. Step 2: Convert to fraction form
    954.71/1,431.77 = 305.30/x
  3. Step 3: Cross multiply
    954.71x = 1,431.77 × 305.30
  4. Step 4: Simplify right side
    954.71x = 437,114.24
  5. Step 5: Solve for x
    x = 437,114.24/954.71
  6. Step 6: Final answer
    x = 457.85

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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.