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Finding the Fourth Proportional to 585.24, 876.04 and 390.40

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Solution

The fourth proportional to 585.24, 876.04 and 390.40 is: 584.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.24 : 876.04 = 390.40 : x
  2. Step 2: Convert to fraction form
    585.24/876.04 = 390.40/x
  3. Step 3: Cross multiply
    585.24x = 876.04 × 390.40
  4. Step 4: Simplify right side
    585.24x = 342,004.06
  5. Step 5: Solve for x
    x = 342,004.06/585.24
  6. Step 6: Final answer
    x = 584.38

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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.