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Finding the Fourth Proportional to 535.89, 802.71 and 437.94

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Solution

The fourth proportional to 535.89, 802.71 and 437.94 is: 655.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.89 : 802.71 = 437.94 : x
  2. Step 2: Convert to fraction form
    535.89/802.71 = 437.94/x
  3. Step 3: Cross multiply
    535.89x = 802.71 × 437.94
  4. Step 4: Simplify right side
    535.89x = 351,538.82
  5. Step 5: Solve for x
    x = 351,538.82/535.89
  6. Step 6: Final answer
    x = 655.99

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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.