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Finding the Fourth Proportional to 656.25, 906.35 and 436.17

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Solution

The fourth proportional to 656.25, 906.35 and 436.17 is: 602.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.25 : 906.35 = 436.17 : x
  2. Step 2: Convert to fraction form
    656.25/906.35 = 436.17/x
  3. Step 3: Cross multiply
    656.25x = 906.35 × 436.17
  4. Step 4: Simplify right side
    656.25x = 395,322.68
  5. Step 5: Solve for x
    x = 395,322.68/656.25
  6. Step 6: Final answer
    x = 602.40

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