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Finding the Fourth Proportional to 646.84, 968.70 and 403.06

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Solution

The fourth proportional to 646.84, 968.70 and 403.06 is: 603.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.84 : 968.70 = 403.06 : x
  2. Step 2: Convert to fraction form
    646.84/968.70 = 403.06/x
  3. Step 3: Cross multiply
    646.84x = 968.70 × 403.06
  4. Step 4: Simplify right side
    646.84x = 390,444.22
  5. Step 5: Solve for x
    x = 390,444.22/646.84
  6. Step 6: Final answer
    x = 603.62

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