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Finding the Fourth Proportional to 551.30, 760.70 and 315.24

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Solution

The fourth proportional to 551.30, 760.70 and 315.24 is: 434.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.30 : 760.70 = 315.24 : x
  2. Step 2: Convert to fraction form
    551.30/760.70 = 315.24/x
  3. Step 3: Cross multiply
    551.30x = 760.70 × 315.24
  4. Step 4: Simplify right side
    551.30x = 239,803.07
  5. Step 5: Solve for x
    x = 239,803.07/551.30
  6. Step 6: Final answer
    x = 434.98

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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.