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Finding the Fourth Proportional to 510.06, 703.08 and 467.69

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Solution

The fourth proportional to 510.06, 703.08 and 467.69 is: 644.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.06 : 703.08 = 467.69 : x
  2. Step 2: Convert to fraction form
    510.06/703.08 = 467.69/x
  3. Step 3: Cross multiply
    510.06x = 703.08 × 467.69
  4. Step 4: Simplify right side
    510.06x = 328,817.63
  5. Step 5: Solve for x
    x = 328,817.63/510.06
  6. Step 6: Final answer
    x = 644.66

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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.