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Finding the Fourth Proportional to 714.42, 1,071.16 and 349.00

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Solution

The fourth proportional to 714.42, 1,071.16 and 349.00 is: 523.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.42 : 1,071.16 = 349.00 : x
  2. Step 2: Convert to fraction form
    714.42/1,071.16 = 349.00/x
  3. Step 3: Cross multiply
    714.42x = 1,071.16 × 349.00
  4. Step 4: Simplify right side
    714.42x = 373,831.29
  5. Step 5: Solve for x
    x = 373,831.29/714.42
  6. Step 6: Final answer
    x = 523.27

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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.