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Finding the Fourth Proportional to 580.70, 801.02 and 456.16

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Solution

The fourth proportional to 580.70, 801.02 and 456.16 is: 629.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.70 : 801.02 = 456.16 : x
  2. Step 2: Convert to fraction form
    580.70/801.02 = 456.16/x
  3. Step 3: Cross multiply
    580.70x = 801.02 × 456.16
  4. Step 4: Simplify right side
    580.70x = 365,393.28
  5. Step 5: Solve for x
    x = 365,393.28/580.70
  6. Step 6: Final answer
    x = 629.23

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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.