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Finding the Fourth Proportional to 592.94, 816.50 and 580.16

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Solution

The fourth proportional to 592.94, 816.50 and 580.16 is: 798.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.94 : 816.50 = 580.16 : x
  2. Step 2: Convert to fraction form
    592.94/816.50 = 580.16/x
  3. Step 3: Cross multiply
    592.94x = 816.50 × 580.16
  4. Step 4: Simplify right side
    592.94x = 473,700.64
  5. Step 5: Solve for x
    x = 473,700.64/592.94
  6. Step 6: Final answer
    x = 798.90

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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.