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Finding the Fourth Proportional to 601.48, 830.64 and 405.76

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Solution

The fourth proportional to 601.48, 830.64 and 405.76 is: 560.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.48 : 830.64 = 405.76 : x
  2. Step 2: Convert to fraction form
    601.48/830.64 = 405.76/x
  3. Step 3: Cross multiply
    601.48x = 830.64 × 405.76
  4. Step 4: Simplify right side
    601.48x = 337,040.49
  5. Step 5: Solve for x
    x = 337,040.49/601.48
  6. Step 6: Final answer
    x = 560.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.