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Finding the Fourth Proportional to 630.69, 869.74 and 420.88

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Solution

The fourth proportional to 630.69, 869.74 and 420.88 is: 580.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.69 : 869.74 = 420.88 : x
  2. Step 2: Convert to fraction form
    630.69/869.74 = 420.88/x
  3. Step 3: Cross multiply
    630.69x = 869.74 × 420.88
  4. Step 4: Simplify right side
    630.69x = 366,054.52
  5. Step 5: Solve for x
    x = 366,054.52/630.69
  6. Step 6: Final answer
    x = 580.40

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1.5x scale

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.