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Finding the Fourth Proportional to 954.01, 1,430.65 and 304.39

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Solution

The fourth proportional to 954.01, 1,430.65 and 304.39 is: 456.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.01 : 1,430.65 = 304.39 : x
  2. Step 2: Convert to fraction form
    954.01/1,430.65 = 304.39/x
  3. Step 3: Cross multiply
    954.01x = 1,430.65 × 304.39
  4. Step 4: Simplify right side
    954.01x = 435,475.55
  5. Step 5: Solve for x
    x = 435,475.55/954.01
  6. Step 6: Final answer
    x = 456.47

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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.