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Finding the Fourth Proportional to 589.77, 883.44 and 417.24

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Solution

The fourth proportional to 589.77, 883.44 and 417.24 is: 625.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.77 : 883.44 = 417.24 : x
  2. Step 2: Convert to fraction form
    589.77/883.44 = 417.24/x
  3. Step 3: Cross multiply
    589.77x = 883.44 × 417.24
  4. Step 4: Simplify right side
    589.77x = 368,606.51
  5. Step 5: Solve for x
    x = 368,606.51/589.77
  6. Step 6: Final answer
    x = 625.00

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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.