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Finding the Fourth Proportional to 595.33, 893.07 and 429.32

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Solution

The fourth proportional to 595.33, 893.07 and 429.32 is: 644.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.33 : 893.07 = 429.32 : x
  2. Step 2: Convert to fraction form
    595.33/893.07 = 429.32/x
  3. Step 3: Cross multiply
    595.33x = 893.07 × 429.32
  4. Step 4: Simplify right side
    595.33x = 383,415.05
  5. Step 5: Solve for x
    x = 383,415.05/595.33
  6. Step 6: Final answer
    x = 644.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.