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Finding the Fourth Proportional to 587.37, 808.73 and 498.67

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Solution

The fourth proportional to 587.37, 808.73 and 498.67 is: 686.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.37 : 808.73 = 498.67 : x
  2. Step 2: Convert to fraction form
    587.37/808.73 = 498.67/x
  3. Step 3: Cross multiply
    587.37x = 808.73 × 498.67
  4. Step 4: Simplify right side
    587.37x = 403,285.81
  5. Step 5: Solve for x
    x = 403,285.81/587.37
  6. Step 6: Final answer
    x = 686.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.