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Finding the Fourth Proportional to 954.10, 1,430.84 and 304.68

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Solution

The fourth proportional to 954.10, 1,430.84 and 304.68 is: 456.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.10 : 1,430.84 = 304.68 : x
  2. Step 2: Convert to fraction form
    954.10/1,430.84 = 304.68/x
  3. Step 3: Cross multiply
    954.10x = 1,430.84 × 304.68
  4. Step 4: Simplify right side
    954.10x = 435,948.33
  5. Step 5: Solve for x
    x = 435,948.33/954.10
  6. Step 6: Final answer
    x = 456.92

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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.