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Finding the Fourth Proportional to 566.46, 846.59 and 412.70

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Solution

The fourth proportional to 566.46, 846.59 and 412.70 is: 616.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.46 : 846.59 = 412.70 : x
  2. Step 2: Convert to fraction form
    566.46/846.59 = 412.70/x
  3. Step 3: Cross multiply
    566.46x = 846.59 × 412.70
  4. Step 4: Simplify right side
    566.46x = 349,381.40
  5. Step 5: Solve for x
    x = 349,381.40/566.46
  6. Step 6: Final answer
    x = 616.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.