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Finding the Fourth Proportional to 656.47, 906.02 and 390.93

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Solution

The fourth proportional to 656.47, 906.02 and 390.93 is: 539.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.47 : 906.02 = 390.93 : x
  2. Step 2: Convert to fraction form
    656.47/906.02 = 390.93/x
  3. Step 3: Cross multiply
    656.47x = 906.02 × 390.93
  4. Step 4: Simplify right side
    656.47x = 354,186.51
  5. Step 5: Solve for x
    x = 354,186.51/656.47
  6. Step 6: Final answer
    x = 539.53

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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.