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Finding the Fourth Proportional to 715.02, 986.40 and 466.28

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Solution

The fourth proportional to 715.02, 986.40 and 466.28 is: 643.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.02 : 986.40 = 466.28 : x
  2. Step 2: Convert to fraction form
    715.02/986.40 = 466.28/x
  3. Step 3: Cross multiply
    715.02x = 986.40 × 466.28
  4. Step 4: Simplify right side
    715.02x = 459,933.66
  5. Step 5: Solve for x
    x = 459,933.66/715.02
  6. Step 6: Final answer
    x = 643.25

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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.