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Finding the Fourth Proportional to 530.66, 794.64 and 357.14

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Solution

The fourth proportional to 530.66, 794.64 and 357.14 is: 534.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.66 : 794.64 = 357.14 : x
  2. Step 2: Convert to fraction form
    530.66/794.64 = 357.14/x
  3. Step 3: Cross multiply
    530.66x = 794.64 × 357.14
  4. Step 4: Simplify right side
    530.66x = 283,797.73
  5. Step 5: Solve for x
    x = 283,797.73/530.66
  6. Step 6: Final answer
    x = 534.80

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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.