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Finding the Fourth Proportional to 594.51, 891.13 and 286.16

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Solution

The fourth proportional to 594.51, 891.13 and 286.16 is: 428.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.51 : 891.13 = 286.16 : x
  2. Step 2: Convert to fraction form
    594.51/891.13 = 286.16/x
  3. Step 3: Cross multiply
    594.51x = 891.13 × 286.16
  4. Step 4: Simplify right side
    594.51x = 255,002.83
  5. Step 5: Solve for x
    x = 255,002.83/594.51
  6. Step 6: Final answer
    x = 428.93

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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.