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Finding the Fourth Proportional to 647.99, 972.60 and 340.07

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Solution

The fourth proportional to 647.99, 972.60 and 340.07 is: 510.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.99 : 972.60 = 340.07 : x
  2. Step 2: Convert to fraction form
    647.99/972.60 = 340.07/x
  3. Step 3: Cross multiply
    647.99x = 972.60 × 340.07
  4. Step 4: Simplify right side
    647.99x = 330,752.08
  5. Step 5: Solve for x
    x = 330,752.08/647.99
  6. Step 6: Final answer
    x = 510.43

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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.