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Finding the Fourth Proportional to 970.18, 1,455.05 and 276.65

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Solution

The fourth proportional to 970.18, 1,455.05 and 276.65 is: 414.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.18 : 1,455.05 = 276.65 : x
  2. Step 2: Convert to fraction form
    970.18/1,455.05 = 276.65/x
  3. Step 3: Cross multiply
    970.18x = 1,455.05 × 276.65
  4. Step 4: Simplify right side
    970.18x = 402,536.90
  5. Step 5: Solve for x
    x = 402,536.90/970.18
  6. Step 6: Final answer
    x = 414.91

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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.