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Finding the Fourth Proportional to 656.52, 905.94 and 407.76

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Solution

The fourth proportional to 656.52, 905.94 and 407.76 is: 562.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.52 : 905.94 = 407.76 : x
  2. Step 2: Convert to fraction form
    656.52/905.94 = 407.76/x
  3. Step 3: Cross multiply
    656.52x = 905.94 × 407.76
  4. Step 4: Simplify right side
    656.52x = 369,406.09
  5. Step 5: Solve for x
    x = 369,406.09/656.52
  6. Step 6: Final answer
    x = 562.67

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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.