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Finding the Fourth Proportional to 676.57, 933.48 and 407.32

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Solution

The fourth proportional to 676.57, 933.48 and 407.32 is: 561.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.57 : 933.48 = 407.32 : x
  2. Step 2: Convert to fraction form
    676.57/933.48 = 407.32/x
  3. Step 3: Cross multiply
    676.57x = 933.48 × 407.32
  4. Step 4: Simplify right side
    676.57x = 380,225.07
  5. Step 5: Solve for x
    x = 380,225.07/676.57
  6. Step 6: Final answer
    x = 561.99

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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.