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Finding the Fourth Proportional to 584.23, 804.24 and 510.45

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Solution

The fourth proportional to 584.23, 804.24 and 510.45 is: 702.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.23 : 804.24 = 510.45 : x
  2. Step 2: Convert to fraction form
    584.23/804.24 = 510.45/x
  3. Step 3: Cross multiply
    584.23x = 804.24 × 510.45
  4. Step 4: Simplify right side
    584.23x = 410,524.31
  5. Step 5: Solve for x
    x = 410,524.31/584.23
  6. Step 6: Final answer
    x = 702.68

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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.