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Finding the Fourth Proportional to 368.09, 508.16 and 285.01

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Solution

The fourth proportional to 368.09, 508.16 and 285.01 is: 393.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.09 : 508.16 = 285.01 : x
  2. Step 2: Convert to fraction form
    368.09/508.16 = 285.01/x
  3. Step 3: Cross multiply
    368.09x = 508.16 × 285.01
  4. Step 4: Simplify right side
    368.09x = 144,829.26
  5. Step 5: Solve for x
    x = 144,829.26/368.09
  6. Step 6: Final answer
    x = 393.46

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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.