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Finding the Fourth Proportional to 594.57, 891.66 and 286.23

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Solution

The fourth proportional to 594.57, 891.66 and 286.23 is: 429.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.57 : 891.66 = 286.23 : x
  2. Step 2: Convert to fraction form
    594.57/891.66 = 286.23/x
  3. Step 3: Cross multiply
    594.57x = 891.66 × 286.23
  4. Step 4: Simplify right side
    594.57x = 255,219.84
  5. Step 5: Solve for x
    x = 255,219.84/594.57
  6. Step 6: Final answer
    x = 429.25

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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.