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Finding the Fourth Proportional to 585.58, 876.57 and 368.14

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Solution

The fourth proportional to 585.58, 876.57 and 368.14 is: 551.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.58 : 876.57 = 368.14 : x
  2. Step 2: Convert to fraction form
    585.58/876.57 = 368.14/x
  3. Step 3: Cross multiply
    585.58x = 876.57 × 368.14
  4. Step 4: Simplify right side
    585.58x = 322,700.48
  5. Step 5: Solve for x
    x = 322,700.48/585.58
  6. Step 6: Final answer
    x = 551.08

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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.