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Finding the Fourth Proportional to 586.03, 808.62 and 349.99

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Solution

The fourth proportional to 586.03, 808.62 and 349.99 is: 482.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.03 : 808.62 = 349.99 : x
  2. Step 2: Convert to fraction form
    586.03/808.62 = 349.99/x
  3. Step 3: Cross multiply
    586.03x = 808.62 × 349.99
  4. Step 4: Simplify right side
    586.03x = 283,008.91
  5. Step 5: Solve for x
    x = 283,008.91/586.03
  6. Step 6: Final answer
    x = 482.93

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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.