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Finding the Fourth Proportional to 583.65, 873.68 and 409.50

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Solution

The fourth proportional to 583.65, 873.68 and 409.50 is: 612.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.65 : 873.68 = 409.50 : x
  2. Step 2: Convert to fraction form
    583.65/873.68 = 409.50/x
  3. Step 3: Cross multiply
    583.65x = 873.68 × 409.50
  4. Step 4: Simplify right side
    583.65x = 357,769.91
  5. Step 5: Solve for x
    x = 357,769.91/583.65
  6. Step 6: Final answer
    x = 612.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.