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Finding the Fourth Proportional to 585.12, 806.16 and 497.76

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Solution

The fourth proportional to 585.12, 806.16 and 497.76 is: 685.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.12 : 806.16 = 497.76 : x
  2. Step 2: Convert to fraction form
    585.12/806.16 = 497.76/x
  3. Step 3: Cross multiply
    585.12x = 806.16 × 497.76
  4. Step 4: Simplify right side
    585.12x = 401,274.20
  5. Step 5: Solve for x
    x = 401,274.20/585.12
  6. Step 6: Final answer
    x = 685.80

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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.