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Finding the Fourth Proportional to 586.35, 808.65 and 460.67

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Solution

The fourth proportional to 586.35, 808.65 and 460.67 is: 635.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.35 : 808.65 = 460.67 : x
  2. Step 2: Convert to fraction form
    586.35/808.65 = 460.67/x
  3. Step 3: Cross multiply
    586.35x = 808.65 × 460.67
  4. Step 4: Simplify right side
    586.35x = 372,516.75
  5. Step 5: Solve for x
    x = 372,516.75/586.35
  6. Step 6: Final answer
    x = 635.31

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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.