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Finding the Fourth Proportional to 460.04, 688.66 and 253.99

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Solution

The fourth proportional to 460.04, 688.66 and 253.99 is: 380.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.04 : 688.66 = 253.99 : x
  2. Step 2: Convert to fraction form
    460.04/688.66 = 253.99/x
  3. Step 3: Cross multiply
    460.04x = 688.66 × 253.99
  4. Step 4: Simplify right side
    460.04x = 174,909.31
  5. Step 5: Solve for x
    x = 174,909.31/460.04
  6. Step 6: Final answer
    x = 380.20

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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.