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Finding the Fourth Proportional to 460.65, 690.30 and 314.31

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Solution

The fourth proportional to 460.65, 690.30 and 314.31 is: 471.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.65 : 690.30 = 314.31 : x
  2. Step 2: Convert to fraction form
    460.65/690.30 = 314.31/x
  3. Step 3: Cross multiply
    460.65x = 690.30 × 314.31
  4. Step 4: Simplify right side
    460.65x = 216,968.19
  5. Step 5: Solve for x
    x = 216,968.19/460.65
  6. Step 6: Final answer
    x = 471.00

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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.