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Finding the Fourth Proportional to 504.47, 757.54 and 466.58

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Solution

The fourth proportional to 504.47, 757.54 and 466.58 is: 700.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.47 : 757.54 = 466.58 : x
  2. Step 2: Convert to fraction form
    504.47/757.54 = 466.58/x
  3. Step 3: Cross multiply
    504.47x = 757.54 × 466.58
  4. Step 4: Simplify right side
    504.47x = 353,448.06
  5. Step 5: Solve for x
    x = 353,448.06/504.47
  6. Step 6: Final answer
    x = 700.63

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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.