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Finding the Fourth Proportional to 630.75, 870.18 and 465.36

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Solution

The fourth proportional to 630.75, 870.18 and 465.36 is: 642.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.75 : 870.18 = 465.36 : x
  2. Step 2: Convert to fraction form
    630.75/870.18 = 465.36/x
  3. Step 3: Cross multiply
    630.75x = 870.18 × 465.36
  4. Step 4: Simplify right side
    630.75x = 404,946.96
  5. Step 5: Solve for x
    x = 404,946.96/630.75
  6. Step 6: Final answer
    x = 642.01

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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.