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Finding the Fourth Proportional to 656.32, 905.77 and 407.65

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Solution

The fourth proportional to 656.32, 905.77 and 407.65 is: 562.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.32 : 905.77 = 407.65 : x
  2. Step 2: Convert to fraction form
    656.32/905.77 = 407.65/x
  3. Step 3: Cross multiply
    656.32x = 905.77 × 407.65
  4. Step 4: Simplify right side
    656.32x = 369,234.79
  5. Step 5: Solve for x
    x = 369,234.79/656.32
  6. Step 6: Final answer
    x = 562.58

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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.