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Finding the Fourth Proportional to 524.40, 785.88 and 341.52

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Solution

The fourth proportional to 524.40, 785.88 and 341.52 is: 511.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.40 : 785.88 = 341.52 : x
  2. Step 2: Convert to fraction form
    524.40/785.88 = 341.52/x
  3. Step 3: Cross multiply
    524.40x = 785.88 × 341.52
  4. Step 4: Simplify right side
    524.40x = 268,393.74
  5. Step 5: Solve for x
    x = 268,393.74/524.40
  6. Step 6: Final answer
    x = 511.81

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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.