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Finding the Fourth Proportional to 590.94, 887.03 and 283.05

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Solution

The fourth proportional to 590.94, 887.03 and 283.05 is: 424.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.94 : 887.03 = 283.05 : x
  2. Step 2: Convert to fraction form
    590.94/887.03 = 283.05/x
  3. Step 3: Cross multiply
    590.94x = 887.03 × 283.05
  4. Step 4: Simplify right side
    590.94x = 251,073.84
  5. Step 5: Solve for x
    x = 251,073.84/590.94
  6. Step 6: Final answer
    x = 424.87

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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.