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Finding the Fourth Proportional to 314.08, 432 and 288

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Solution

The fourth proportional to 314.08, 432 and 288 is: 396.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.08 : 432 = 288 : x
  2. Step 2: Convert to fraction form
    314.08/432 = 288/x
  3. Step 3: Cross multiply
    314.08x = 432 × 288
  4. Step 4: Simplify right side
    314.08x = 124,416
  5. Step 5: Solve for x
    x = 124,416/314.08
  6. Step 6: Final answer
    x = 396.13

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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.