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Finding the Fourth Proportional to 504.58, 756.15 and 401.40

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Solution

The fourth proportional to 504.58, 756.15 and 401.40 is: 601.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.58 : 756.15 = 401.40 : x
  2. Step 2: Convert to fraction form
    504.58/756.15 = 401.40/x
  3. Step 3: Cross multiply
    504.58x = 756.15 × 401.40
  4. Step 4: Simplify right side
    504.58x = 303,518.61
  5. Step 5: Solve for x
    x = 303,518.61/504.58
  6. Step 6: Final answer
    x = 601.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.