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Finding the Fourth Proportional to 511.63, 706.00 and 290.59

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Solution

The fourth proportional to 511.63, 706.00 and 290.59 is: 400.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.63 : 706.00 = 290.59 : x
  2. Step 2: Convert to fraction form
    511.63/706.00 = 290.59/x
  3. Step 3: Cross multiply
    511.63x = 706.00 × 290.59
  4. Step 4: Simplify right side
    511.63x = 205,154.59
  5. Step 5: Solve for x
    x = 205,154.59/511.63
  6. Step 6: Final answer
    x = 400.98

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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.