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Finding the Fourth Proportional to 601.68, 830.34 and 470.46

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Solution

The fourth proportional to 601.68, 830.34 and 470.46 is: 649.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.68 : 830.34 = 470.46 : x
  2. Step 2: Convert to fraction form
    601.68/830.34 = 470.46/x
  3. Step 3: Cross multiply
    601.68x = 830.34 × 470.46
  4. Step 4: Simplify right side
    601.68x = 390,641.76
  5. Step 5: Solve for x
    x = 390,641.76/601.68
  6. Step 6: Final answer
    x = 649.25

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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.