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Finding the Fourth Proportional to 676.16, 933.12 and 510.08

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Solution

The fourth proportional to 676.16, 933.12 and 510.08 is: 703.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.16 : 933.12 = 510.08 : x
  2. Step 2: Convert to fraction form
    676.16/933.12 = 510.08/x
  3. Step 3: Cross multiply
    676.16x = 933.12 × 510.08
  4. Step 4: Simplify right side
    676.16x = 475,965.85
  5. Step 5: Solve for x
    x = 475,965.85/676.16
  6. Step 6: Final answer
    x = 703.92

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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.