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Finding the Fourth Proportional to 590.98, 815.14 and 512.16

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Solution

The fourth proportional to 590.98, 815.14 and 512.16 is: 706.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.98 : 815.14 = 512.16 : x
  2. Step 2: Convert to fraction form
    590.98/815.14 = 512.16/x
  3. Step 3: Cross multiply
    590.98x = 815.14 × 512.16
  4. Step 4: Simplify right side
    590.98x = 417,478.78
  5. Step 5: Solve for x
    x = 417,478.78/590.98
  6. Step 6: Final answer
    x = 706.42

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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.