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Finding the Fourth Proportional to 602.82, 831.06 and 462.42

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Solution

The fourth proportional to 602.82, 831.06 and 462.42 is: 637.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.82 : 831.06 = 462.42 : x
  2. Step 2: Convert to fraction form
    602.82/831.06 = 462.42/x
  3. Step 3: Cross multiply
    602.82x = 831.06 × 462.42
  4. Step 4: Simplify right side
    602.82x = 384,298.77
  5. Step 5: Solve for x
    x = 384,298.77/602.82
  6. Step 6: Final answer
    x = 637.50

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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.