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Finding the Fourth Proportional to 586.02, 808.43 and 362.03

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Solution

The fourth proportional to 586.02, 808.43 and 362.03 is: 499.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.02 : 808.43 = 362.03 : x
  2. Step 2: Convert to fraction form
    586.02/808.43 = 362.03/x
  3. Step 3: Cross multiply
    586.02x = 808.43 × 362.03
  4. Step 4: Simplify right side
    586.02x = 292,670.06
  5. Step 5: Solve for x
    x = 292,670.06/586.02
  6. Step 6: Final answer
    x = 499.42

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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.