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Finding the Fourth Proportional to 536.66, 802.56 and 529.98

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Solution

The fourth proportional to 536.66, 802.56 and 529.98 is: 792.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.66 : 802.56 = 529.98 : x
  2. Step 2: Convert to fraction form
    536.66/802.56 = 529.98/x
  3. Step 3: Cross multiply
    536.66x = 802.56 × 529.98
  4. Step 4: Simplify right side
    536.66x = 425,336.75
  5. Step 5: Solve for x
    x = 425,336.75/536.66
  6. Step 6: Final answer
    x = 792.56

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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.