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Finding the Fourth Proportional to 889.49, 1,334.42 and 312.77

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Solution

The fourth proportional to 889.49, 1,334.42 and 312.77 is: 469.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    889.49 : 1,334.42 = 312.77 : x
  2. Step 2: Convert to fraction form
    889.49/1,334.42 = 312.77/x
  3. Step 3: Cross multiply
    889.49x = 1,334.42 × 312.77
  4. Step 4: Simplify right side
    889.49x = 417,364.98
  5. Step 5: Solve for x
    x = 417,364.98/889.49
  6. Step 6: Final answer
    x = 469.22

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1.5x scale

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.