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Finding the Fourth Proportional to 586.30, 808.69 and 475.78

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Solution

The fourth proportional to 586.30, 808.69 and 475.78 is: 656.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.30 : 808.69 = 475.78 : x
  2. Step 2: Convert to fraction form
    586.30/808.69 = 475.78/x
  3. Step 3: Cross multiply
    586.30x = 808.69 × 475.78
  4. Step 4: Simplify right side
    586.30x = 384,758.53
  5. Step 5: Solve for x
    x = 384,758.53/586.30
  6. Step 6: Final answer
    x = 656.25

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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.