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Finding the Fourth Proportional to 714.24, 1,070.96 and 348.93

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Solution

The fourth proportional to 714.24, 1,070.96 and 348.93 is: 523.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.24 : 1,070.96 = 348.93 : x
  2. Step 2: Convert to fraction form
    714.24/1,070.96 = 348.93/x
  3. Step 3: Cross multiply
    714.24x = 1,070.96 × 348.93
  4. Step 4: Simplify right side
    714.24x = 373,688.33
  5. Step 5: Solve for x
    x = 373,688.33/714.24
  6. Step 6: Final answer
    x = 523.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.