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Finding the Fourth Proportional to 580.69, 870.29 and 406

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Solution

The fourth proportional to 580.69, 870.29 and 406 is: 608.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.69 : 870.29 = 406 : x
  2. Step 2: Convert to fraction form
    580.69/870.29 = 406/x
  3. Step 3: Cross multiply
    580.69x = 870.29 × 406
  4. Step 4: Simplify right side
    580.69x = 353,337.74
  5. Step 5: Solve for x
    x = 353,337.74/580.69
  6. Step 6: Final answer
    x = 608.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.