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Finding the Fourth Proportional to 656.25, 905.34 and 407.13

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Solution

The fourth proportional to 656.25, 905.34 and 407.13 is: 561.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.25 : 905.34 = 407.13 : x
  2. Step 2: Convert to fraction form
    656.25/905.34 = 407.13/x
  3. Step 3: Cross multiply
    656.25x = 905.34 × 407.13
  4. Step 4: Simplify right side
    656.25x = 368,591.07
  5. Step 5: Solve for x
    x = 368,591.07/656.25
  6. Step 6: Final answer
    x = 561.66

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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.