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Finding the Fourth Proportional to 477.07, 714.91 and 233.32

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Solution

The fourth proportional to 477.07, 714.91 and 233.32 is: 349.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.07 : 714.91 = 233.32 : x
  2. Step 2: Convert to fraction form
    477.07/714.91 = 233.32/x
  3. Step 3: Cross multiply
    477.07x = 714.91 × 233.32
  4. Step 4: Simplify right side
    477.07x = 166,802.80
  5. Step 5: Solve for x
    x = 166,802.80/477.07
  6. Step 6: Final answer
    x = 349.64

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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.