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Finding the Fourth Proportional to 594.18, 821.61 and 512.10

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Solution

The fourth proportional to 594.18, 821.61 and 512.10 is: 708.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.18 : 821.61 = 512.10 : x
  2. Step 2: Convert to fraction form
    594.18/821.61 = 512.10/x
  3. Step 3: Cross multiply
    594.18x = 821.61 × 512.10
  4. Step 4: Simplify right side
    594.18x = 420,746.48
  5. Step 5: Solve for x
    x = 420,746.48/594.18
  6. Step 6: Final answer
    x = 708.11

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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.