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Finding the Fourth Proportional to 472.18, 707.72 and 307.42

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Solution

The fourth proportional to 472.18, 707.72 and 307.42 is: 460.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.18 : 707.72 = 307.42 : x
  2. Step 2: Convert to fraction form
    472.18/707.72 = 307.42/x
  3. Step 3: Cross multiply
    472.18x = 707.72 × 307.42
  4. Step 4: Simplify right side
    472.18x = 217,567.28
  5. Step 5: Solve for x
    x = 217,567.28/472.18
  6. Step 6: Final answer
    x = 460.77

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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.