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Finding the Fourth Proportional to 713.34, 1,070.31 and 302.77

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Solution

The fourth proportional to 713.34, 1,070.31 and 302.77 is: 454.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.34 : 1,070.31 = 302.77 : x
  2. Step 2: Convert to fraction form
    713.34/1,070.31 = 302.77/x
  3. Step 3: Cross multiply
    713.34x = 1,070.31 × 302.77
  4. Step 4: Simplify right side
    713.34x = 324,060.23
  5. Step 5: Solve for x
    x = 324,060.23/713.34
  6. Step 6: Final answer
    x = 454.29

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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.