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Finding the Fourth Proportional to 345.60, 521.10 and 302.40

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Solution

The fourth proportional to 345.60, 521.10 and 302.40 is: 455.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.60 : 521.10 = 302.40 : x
  2. Step 2: Convert to fraction form
    345.60/521.10 = 302.40/x
  3. Step 3: Cross multiply
    345.60x = 521.10 × 302.40
  4. Step 4: Simplify right side
    345.60x = 157,580.64
  5. Step 5: Solve for x
    x = 157,580.64/345.60
  6. Step 6: Final answer
    x = 455.96

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.