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Finding the Fourth Proportional to 345.65, 476.62 and 240.89

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Solution

The fourth proportional to 345.65, 476.62 and 240.89 is: 332.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.65 : 476.62 = 240.89 : x
  2. Step 2: Convert to fraction form
    345.65/476.62 = 240.89/x
  3. Step 3: Cross multiply
    345.65x = 476.62 × 240.89
  4. Step 4: Simplify right side
    345.65x = 114,810.01
  5. Step 5: Solve for x
    x = 114,810.01/345.65
  6. Step 6: Final answer
    x = 332.16

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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.