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Finding the Fourth Proportional to 511.69, 706.03 and 354.07

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Solution

The fourth proportional to 511.69, 706.03 and 354.07 is: 488.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.69 : 706.03 = 354.07 : x
  2. Step 2: Convert to fraction form
    511.69/706.03 = 354.07/x
  3. Step 3: Cross multiply
    511.69x = 706.03 × 354.07
  4. Step 4: Simplify right side
    511.69x = 249,980.51
  5. Step 5: Solve for x
    x = 249,980.51/511.69
  6. Step 6: Final answer
    x = 488.54

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