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Finding the Fourth Proportional to 686.30, 1,029.59 and 357.40

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Solution

The fourth proportional to 686.30, 1,029.59 and 357.40 is: 536.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.30 : 1,029.59 = 357.40 : x
  2. Step 2: Convert to fraction form
    686.30/1,029.59 = 357.40/x
  3. Step 3: Cross multiply
    686.30x = 1,029.59 × 357.40
  4. Step 4: Simplify right side
    686.30x = 367,971.11
  5. Step 5: Solve for x
    x = 367,971.11/686.30
  6. Step 6: Final answer
    x = 536.16

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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.