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Finding the Fourth Proportional to 656.68, 906.08 and 509.12

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Solution

The fourth proportional to 656.68, 906.08 and 509.12 is: 702.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.68 : 906.08 = 509.12 : x
  2. Step 2: Convert to fraction form
    656.68/906.08 = 509.12/x
  3. Step 3: Cross multiply
    656.68x = 906.08 × 509.12
  4. Step 4: Simplify right side
    656.68x = 461,303.45
  5. Step 5: Solve for x
    x = 461,303.45/656.68
  6. Step 6: Final answer
    x = 702.48

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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.