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Finding the Fourth Proportional to 578.16, 866.16 and 289.80

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Solution

The fourth proportional to 578.16, 866.16 and 289.80 is: 434.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.16 : 866.16 = 289.80 : x
  2. Step 2: Convert to fraction form
    578.16/866.16 = 289.80/x
  3. Step 3: Cross multiply
    578.16x = 866.16 × 289.80
  4. Step 4: Simplify right side
    578.16x = 251,013.17
  5. Step 5: Solve for x
    x = 251,013.17/578.16
  6. Step 6: Final answer
    x = 434.16

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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.