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Finding the Fourth Proportional to 686.36, 946.83 and 430.80

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Solution

The fourth proportional to 686.36, 946.83 and 430.80 is: 594.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.36 : 946.83 = 430.80 : x
  2. Step 2: Convert to fraction form
    686.36/946.83 = 430.80/x
  3. Step 3: Cross multiply
    686.36x = 946.83 × 430.80
  4. Step 4: Simplify right side
    686.36x = 407,894.36
  5. Step 5: Solve for x
    x = 407,894.36/686.36
  6. Step 6: Final answer
    x = 594.29

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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.