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Finding the Fourth Proportional to 510.83, 705.29 and 345.43

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Solution

The fourth proportional to 510.83, 705.29 and 345.43 is: 476.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.83 : 705.29 = 345.43 : x
  2. Step 2: Convert to fraction form
    510.83/705.29 = 345.43/x
  3. Step 3: Cross multiply
    510.83x = 705.29 × 345.43
  4. Step 4: Simplify right side
    510.83x = 243,624.83
  5. Step 5: Solve for x
    x = 243,624.83/510.83
  6. Step 6: Final answer
    x = 476.92

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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.