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Finding the Fourth Proportional to 586.16, 808.60 and 361.92

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Solution

The fourth proportional to 586.16, 808.60 and 361.92 is: 499.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.16 : 808.60 = 361.92 : x
  2. Step 2: Convert to fraction form
    586.16/808.60 = 361.92/x
  3. Step 3: Cross multiply
    586.16x = 808.60 × 361.92
  4. Step 4: Simplify right side
    586.16x = 292,648.51
  5. Step 5: Solve for x
    x = 292,648.51/586.16
  6. Step 6: Final answer
    x = 499.26

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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.