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Finding the Fourth Proportional to 472.16, 651.46 and 295.04

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Solution

The fourth proportional to 472.16, 651.46 and 295.04 is: 407.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.16 : 651.46 = 295.04 : x
  2. Step 2: Convert to fraction form
    472.16/651.46 = 295.04/x
  3. Step 3: Cross multiply
    472.16x = 651.46 × 295.04
  4. Step 4: Simplify right side
    472.16x = 192,206.76
  5. Step 5: Solve for x
    x = 192,206.76/472.16
  6. Step 6: Final answer
    x = 407.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.