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Finding the Fourth Proportional to 582.23, 873.81 and 407.78

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Solution

The fourth proportional to 582.23, 873.81 and 407.78 is: 612.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.23 : 873.81 = 407.78 : x
  2. Step 2: Convert to fraction form
    582.23/873.81 = 407.78/x
  3. Step 3: Cross multiply
    582.23x = 873.81 × 407.78
  4. Step 4: Simplify right side
    582.23x = 356,322.24
  5. Step 5: Solve for x
    x = 356,322.24/582.23
  6. Step 6: Final answer
    x = 612.00

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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.