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Finding the Fourth Proportional to 954.05, 1,430.96 and 304.79

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Solution

The fourth proportional to 954.05, 1,430.96 and 304.79 is: 457.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.05 : 1,430.96 = 304.79 : x
  2. Step 2: Convert to fraction form
    954.05/1,430.96 = 304.79/x
  3. Step 3: Cross multiply
    954.05x = 1,430.96 × 304.79
  4. Step 4: Simplify right side
    954.05x = 436,133.62
  5. Step 5: Solve for x
    x = 436,133.62/954.05
  6. Step 6: Final answer
    x = 457.14

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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.