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Finding the Fourth Proportional to 656.42, 905.57 and 407.64

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Solution

The fourth proportional to 656.42, 905.57 and 407.64 is: 562.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.42 : 905.57 = 407.64 : x
  2. Step 2: Convert to fraction form
    656.42/905.57 = 407.64/x
  3. Step 3: Cross multiply
    656.42x = 905.57 × 407.64
  4. Step 4: Simplify right side
    656.42x = 369,144.52
  5. Step 5: Solve for x
    x = 369,144.52/656.42
  6. Step 6: Final answer
    x = 562.36

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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.