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Finding the Fourth Proportional to 954.35, 1,431.53 and 287.16

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Solution

The fourth proportional to 954.35, 1,431.53 and 287.16 is: 430.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.35 : 1,431.53 = 287.16 : x
  2. Step 2: Convert to fraction form
    954.35/1,431.53 = 287.16/x
  3. Step 3: Cross multiply
    954.35x = 1,431.53 × 287.16
  4. Step 4: Simplify right side
    954.35x = 411,076.72
  5. Step 5: Solve for x
    x = 411,076.72/954.35
  6. Step 6: Final answer
    x = 430.74

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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.