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Finding the Fourth Proportional to 368.16, 549.42 and 322.08

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Solution

The fourth proportional to 368.16, 549.42 and 322.08 is: 480.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.16 : 549.42 = 322.08 : x
  2. Step 2: Convert to fraction form
    368.16/549.42 = 322.08/x
  3. Step 3: Cross multiply
    368.16x = 549.42 × 322.08
  4. Step 4: Simplify right side
    368.16x = 176,957.19
  5. Step 5: Solve for x
    x = 176,957.19/368.16
  6. Step 6: Final answer
    x = 480.65

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.