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Finding the Fourth Proportional to 594.60, 891.45 and 286.16

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Solution

The fourth proportional to 594.60, 891.45 and 286.16 is: 429.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.60 : 891.45 = 286.16 : x
  2. Step 2: Convert to fraction form
    594.60/891.45 = 286.16/x
  3. Step 3: Cross multiply
    594.60x = 891.45 × 286.16
  4. Step 4: Simplify right side
    594.60x = 255,092.87
  5. Step 5: Solve for x
    x = 255,092.87/594.60
  6. Step 6: Final answer
    x = 429.02

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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.