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Finding the Fourth Proportional to 509.88, 760.72 and 485.40

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Solution

The fourth proportional to 509.88, 760.72 and 485.40 is: 724.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.88 : 760.72 = 485.40 : x
  2. Step 2: Convert to fraction form
    509.88/760.72 = 485.40/x
  3. Step 3: Cross multiply
    509.88x = 760.72 × 485.40
  4. Step 4: Simplify right side
    509.88x = 369,253.49
  5. Step 5: Solve for x
    x = 369,253.49/509.88
  6. Step 6: Final answer
    x = 724.20

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.