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Finding the Fourth Proportional to 585.46, 808.14 and 454.78

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Solution

The fourth proportional to 585.46, 808.14 and 454.78 is: 627.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.46 : 808.14 = 454.78 : x
  2. Step 2: Convert to fraction form
    585.46/808.14 = 454.78/x
  3. Step 3: Cross multiply
    585.46x = 808.14 × 454.78
  4. Step 4: Simplify right side
    585.46x = 367,525.91
  5. Step 5: Solve for x
    x = 367,525.91/585.46
  6. Step 6: Final answer
    x = 627.76

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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.