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Finding the Fourth Proportional to 504.81, 695.05 and 458.68

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Solution

The fourth proportional to 504.81, 695.05 and 458.68 is: 631.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.81 : 695.05 = 458.68 : x
  2. Step 2: Convert to fraction form
    504.81/695.05 = 458.68/x
  3. Step 3: Cross multiply
    504.81x = 695.05 × 458.68
  4. Step 4: Simplify right side
    504.81x = 318,805.53
  5. Step 5: Solve for x
    x = 318,805.53/504.81
  6. Step 6: Final answer
    x = 631.54

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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.