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Finding the Fourth Proportional to 686.41, 946.95 and 438.10

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Solution

The fourth proportional to 686.41, 946.95 and 438.10 is: 604.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.41 : 946.95 = 438.10 : x
  2. Step 2: Convert to fraction form
    686.41/946.95 = 438.10/x
  3. Step 3: Cross multiply
    686.41x = 946.95 × 438.10
  4. Step 4: Simplify right side
    686.41x = 414,858.80
  5. Step 5: Solve for x
    x = 414,858.80/686.41
  6. Step 6: Final answer
    x = 604.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.