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Finding the Fourth Proportional to 646.88, 969.36 and 402.64

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Solution

The fourth proportional to 646.88, 969.36 and 402.64 is: 603.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.88 : 969.36 = 402.64 : x
  2. Step 2: Convert to fraction form
    646.88/969.36 = 402.64/x
  3. Step 3: Cross multiply
    646.88x = 969.36 × 402.64
  4. Step 4: Simplify right side
    646.88x = 390,303.11
  5. Step 5: Solve for x
    x = 390,303.11/646.88
  6. Step 6: Final answer
    x = 603.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.