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Finding the Fourth Proportional to 539.07, 808.57 and 307.23

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Solution

The fourth proportional to 539.07, 808.57 and 307.23 is: 460.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.07 : 808.57 = 307.23 : x
  2. Step 2: Convert to fraction form
    539.07/808.57 = 307.23/x
  3. Step 3: Cross multiply
    539.07x = 808.57 × 307.23
  4. Step 4: Simplify right side
    539.07x = 248,417.13
  5. Step 5: Solve for x
    x = 248,417.13/539.07
  6. Step 6: Final answer
    x = 460.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.