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Finding the Fourth Proportional to 656.09, 904.52 and 562.43

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Solution

The fourth proportional to 656.09, 904.52 and 562.43 is: 775.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.09 : 904.52 = 562.43 : x
  2. Step 2: Convert to fraction form
    656.09/904.52 = 562.43/x
  3. Step 3: Cross multiply
    656.09x = 904.52 × 562.43
  4. Step 4: Simplify right side
    656.09x = 508,729.18
  5. Step 5: Solve for x
    x = 508,729.18/656.09
  6. Step 6: Final answer
    x = 775.40

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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.