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Finding the Fourth Proportional to 594.71, 891.45 and 533.96

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Solution

The fourth proportional to 594.71, 891.45 and 533.96 is: 800.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.71 : 891.45 = 533.96 : x
  2. Step 2: Convert to fraction form
    594.71/891.45 = 533.96/x
  3. Step 3: Cross multiply
    594.71x = 891.45 × 533.96
  4. Step 4: Simplify right side
    594.71x = 475,994.18
  5. Step 5: Solve for x
    x = 475,994.18/594.71
  6. Step 6: Final answer
    x = 800.39

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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.