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Finding the Fourth Proportional to 582.88, 873.59 and 417.49

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Solution

The fourth proportional to 582.88, 873.59 and 417.49 is: 625.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.88 : 873.59 = 417.49 : x
  2. Step 2: Convert to fraction form
    582.88/873.59 = 417.49/x
  3. Step 3: Cross multiply
    582.88x = 873.59 × 417.49
  4. Step 4: Simplify right side
    582.88x = 364,715.09
  5. Step 5: Solve for x
    x = 364,715.09/582.88
  6. Step 6: Final answer
    x = 625.71

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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.