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Finding the Fourth Proportional to 511.63, 705.90 and 354.09

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Solution

The fourth proportional to 511.63, 705.90 and 354.09 is: 488.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.63 : 705.90 = 354.09 : x
  2. Step 2: Convert to fraction form
    511.63/705.90 = 354.09/x
  3. Step 3: Cross multiply
    511.63x = 705.90 × 354.09
  4. Step 4: Simplify right side
    511.63x = 249,950.14
  5. Step 5: Solve for x
    x = 249,950.14/511.63
  6. Step 6: Final answer
    x = 488.53

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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.