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Finding the Fourth Proportional to 580.48, 865.60 and 499.84

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Solution

The fourth proportional to 580.48, 865.60 and 499.84 is: 745.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.48 : 865.60 = 499.84 : x
  2. Step 2: Convert to fraction form
    580.48/865.60 = 499.84/x
  3. Step 3: Cross multiply
    580.48x = 865.60 × 499.84
  4. Step 4: Simplify right side
    580.48x = 432,661.50
  5. Step 5: Solve for x
    x = 432,661.50/580.48
  6. Step 6: Final answer
    x = 745.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.