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Finding the Fourth Proportional to 586.24, 808.32 and 461.68

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Solution

The fourth proportional to 586.24, 808.32 and 461.68 is: 636.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.24 : 808.32 = 461.68 : x
  2. Step 2: Convert to fraction form
    586.24/808.32 = 461.68/x
  3. Step 3: Cross multiply
    586.24x = 808.32 × 461.68
  4. Step 4: Simplify right side
    586.24x = 373,185.18
  5. Step 5: Solve for x
    x = 373,185.18/586.24
  6. Step 6: Final answer
    x = 636.57

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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.