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Finding the Fourth Proportional to 970.05, 1,454.27 and 384.69

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Solution

The fourth proportional to 970.05, 1,454.27 and 384.69 is: 576.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.05 : 1,454.27 = 384.69 : x
  2. Step 2: Convert to fraction form
    970.05/1,454.27 = 384.69/x
  3. Step 3: Cross multiply
    970.05x = 1,454.27 × 384.69
  4. Step 4: Simplify right side
    970.05x = 559,442.79
  5. Step 5: Solve for x
    x = 559,442.79/970.05
  6. Step 6: Final answer
    x = 576.71

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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.