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Finding the Fourth Proportional to 585.66, 807.43 and 485.70

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Solution

The fourth proportional to 585.66, 807.43 and 485.70 is: 669.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.66 : 807.43 = 485.70 : x
  2. Step 2: Convert to fraction form
    585.66/807.43 = 485.70/x
  3. Step 3: Cross multiply
    585.66x = 807.43 × 485.70
  4. Step 4: Simplify right side
    585.66x = 392,168.75
  5. Step 5: Solve for x
    x = 392,168.75/585.66
  6. Step 6: Final answer
    x = 669.62

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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.