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Finding the Fourth Proportional to 580.64, 800.84 and 406.40

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Solution

The fourth proportional to 580.64, 800.84 and 406.40 is: 560.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.64 : 800.84 = 406.40 : x
  2. Step 2: Convert to fraction form
    580.64/800.84 = 406.40/x
  3. Step 3: Cross multiply
    580.64x = 800.84 × 406.40
  4. Step 4: Simplify right side
    580.64x = 325,461.38
  5. Step 5: Solve for x
    x = 325,461.38/580.64
  6. Step 6: Final answer
    x = 560.52

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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.