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Finding the Fourth Proportional to 586.93, 808.06 and 468.47

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Solution

The fourth proportional to 586.93, 808.06 and 468.47 is: 644.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.93 : 808.06 = 468.47 : x
  2. Step 2: Convert to fraction form
    586.93/808.06 = 468.47/x
  3. Step 3: Cross multiply
    586.93x = 808.06 × 468.47
  4. Step 4: Simplify right side
    586.93x = 378,551.87
  5. Step 5: Solve for x
    x = 378,551.87/586.93
  6. Step 6: Final answer
    x = 644.97

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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.