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Finding the Fourth Proportional to 586.24, 808.64 and 362.12

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Solution

The fourth proportional to 586.24, 808.64 and 362.12 is: 499.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.24 : 808.64 = 362.12 : x
  2. Step 2: Convert to fraction form
    586.24/808.64 = 362.12/x
  3. Step 3: Cross multiply
    586.24x = 808.64 × 362.12
  4. Step 4: Simplify right side
    586.24x = 292,824.72
  5. Step 5: Solve for x
    x = 292,824.72/586.24
  6. Step 6: Final answer
    x = 499.50

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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.