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Finding the Fourth Proportional to 630.68, 870.30 and 368.69

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Solution

The fourth proportional to 630.68, 870.30 and 368.69 is: 508.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.68 : 870.30 = 368.69 : x
  2. Step 2: Convert to fraction form
    630.68/870.30 = 368.69/x
  3. Step 3: Cross multiply
    630.68x = 870.30 × 368.69
  4. Step 4: Simplify right side
    630.68x = 320,866.56
  5. Step 5: Solve for x
    x = 320,866.56/630.68
  6. Step 6: Final answer
    x = 508.77

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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.