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Finding the Fourth Proportional to 970.95, 1,456.09 and 312.80

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Solution

The fourth proportional to 970.95, 1,456.09 and 312.80 is: 469.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.95 : 1,456.09 = 312.80 : x
  2. Step 2: Convert to fraction form
    970.95/1,456.09 = 312.80/x
  3. Step 3: Cross multiply
    970.95x = 1,456.09 × 312.80
  4. Step 4: Simplify right side
    970.95x = 455,463.39
  5. Step 5: Solve for x
    x = 455,463.39/970.95
  6. Step 6: Final answer
    x = 469.09

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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.