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Finding the Fourth Proportional to 510.02, 703.14 and 405.45

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Solution

The fourth proportional to 510.02, 703.14 and 405.45 is: 558.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.02 : 703.14 = 405.45 : x
  2. Step 2: Convert to fraction form
    510.02/703.14 = 405.45/x
  3. Step 3: Cross multiply
    510.02x = 703.14 × 405.45
  4. Step 4: Simplify right side
    510.02x = 285,088.11
  5. Step 5: Solve for x
    x = 285,088.11/510.02
  6. Step 6: Final answer
    x = 558.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.