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Finding the Fourth Proportional to 586.98, 808.65 and 486.78

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Solution

The fourth proportional to 586.98, 808.65 and 486.78 is: 670.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.98 : 808.65 = 486.78 : x
  2. Step 2: Convert to fraction form
    586.98/808.65 = 486.78/x
  3. Step 3: Cross multiply
    586.98x = 808.65 × 486.78
  4. Step 4: Simplify right side
    586.98x = 393,634.65
  5. Step 5: Solve for x
    x = 393,634.65/586.98
  6. Step 6: Final answer
    x = 670.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.