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Finding the Fourth Proportional to 594.49, 890.69 and 362.83

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Solution

The fourth proportional to 594.49, 890.69 and 362.83 is: 543.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.49 : 890.69 = 362.83 : x
  2. Step 2: Convert to fraction form
    594.49/890.69 = 362.83/x
  3. Step 3: Cross multiply
    594.49x = 890.69 × 362.83
  4. Step 4: Simplify right side
    594.49x = 323,165.01
  5. Step 5: Solve for x
    x = 323,165.01/594.49
  6. Step 6: Final answer
    x = 543.60

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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.