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Finding the Fourth Proportional to 530.96, 794.88 and 356.96

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Solution

The fourth proportional to 530.96, 794.88 and 356.96 is: 534.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.96 : 794.88 = 356.96 : x
  2. Step 2: Convert to fraction form
    530.96/794.88 = 356.96/x
  3. Step 3: Cross multiply
    530.96x = 794.88 × 356.96
  4. Step 4: Simplify right side
    530.96x = 283,740.36
  5. Step 5: Solve for x
    x = 283,740.36/530.96
  6. Step 6: Final answer
    x = 534.39

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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.