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Finding the Fourth Proportional to 582.08, 877.48 and 486.50

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Solution

The fourth proportional to 582.08, 877.48 and 486.50 is: 733.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.08 : 877.48 = 486.50 : x
  2. Step 2: Convert to fraction form
    582.08/877.48 = 486.50/x
  3. Step 3: Cross multiply
    582.08x = 877.48 × 486.50
  4. Step 4: Simplify right side
    582.08x = 426,894.02
  5. Step 5: Solve for x
    x = 426,894.02/582.08
  6. Step 6: Final answer
    x = 733.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.