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Finding the Fourth Proportional to 582.99, 873.84 and 290.16

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Solution

The fourth proportional to 582.99, 873.84 and 290.16 is: 434.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.99 : 873.84 = 290.16 : x
  2. Step 2: Convert to fraction form
    582.99/873.84 = 290.16/x
  3. Step 3: Cross multiply
    582.99x = 873.84 × 290.16
  4. Step 4: Simplify right side
    582.99x = 253,553.41
  5. Step 5: Solve for x
    x = 253,553.41/582.99
  6. Step 6: Final answer
    x = 434.92

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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.