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Finding the Fourth Proportional to 590.96, 816.03 and 404.39

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Solution

The fourth proportional to 590.96, 816.03 and 404.39 is: 558.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.96 : 816.03 = 404.39 : x
  2. Step 2: Convert to fraction form
    590.96/816.03 = 404.39/x
  3. Step 3: Cross multiply
    590.96x = 816.03 × 404.39
  4. Step 4: Simplify right side
    590.96x = 329,990.29
  5. Step 5: Solve for x
    x = 329,990.29/590.96
  6. Step 6: Final answer
    x = 558.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.