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Finding the Fourth Proportional to 970.03, 1,455.18 and 311.69

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Solution

The fourth proportional to 970.03, 1,455.18 and 311.69 is: 467.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.03 : 1,455.18 = 311.69 : x
  2. Step 2: Convert to fraction form
    970.03/1,455.18 = 311.69/x
  3. Step 3: Cross multiply
    970.03x = 1,455.18 × 311.69
  4. Step 4: Simplify right side
    970.03x = 453,563.33
  5. Step 5: Solve for x
    x = 453,563.33/970.03
  6. Step 6: Final answer
    x = 467.58

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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.