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Finding the Fourth Proportional to 598.91, 830.34 and 566.10

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Solution

The fourth proportional to 598.91, 830.34 and 566.10 is: 784.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.91 : 830.34 = 566.10 : x
  2. Step 2: Convert to fraction form
    598.91/830.34 = 566.10/x
  3. Step 3: Cross multiply
    598.91x = 830.34 × 566.10
  4. Step 4: Simplify right side
    598.91x = 470,055.47
  5. Step 5: Solve for x
    x = 470,055.47/598.91
  6. Step 6: Final answer
    x = 784.86

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.