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Finding the Fourth Proportional to 510.17, 703.01 and 354.65

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Solution

The fourth proportional to 510.17, 703.01 and 354.65 is: 488.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.17 : 703.01 = 354.65 : x
  2. Step 2: Convert to fraction form
    510.17/703.01 = 354.65/x
  3. Step 3: Cross multiply
    510.17x = 703.01 × 354.65
  4. Step 4: Simplify right side
    510.17x = 249,319.87
  5. Step 5: Solve for x
    x = 249,319.87/510.17
  6. Step 6: Final answer
    x = 488.70

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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.