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Finding the Fourth Proportional to 499.23, 688.30 and 410.40

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Solution

The fourth proportional to 499.23, 688.30 and 410.40 is: 565.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.23 : 688.30 = 410.40 : x
  2. Step 2: Convert to fraction form
    499.23/688.30 = 410.40/x
  3. Step 3: Cross multiply
    499.23x = 688.30 × 410.40
  4. Step 4: Simplify right side
    499.23x = 282,477.29
  5. Step 5: Solve for x
    x = 282,477.29/499.23
  6. Step 6: Final answer
    x = 565.83

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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.