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Finding the Fourth Proportional to 595.66, 893.74 and 307.30

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Solution

The fourth proportional to 595.66, 893.74 and 307.30 is: 461.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.66 : 893.74 = 307.30 : x
  2. Step 2: Convert to fraction form
    595.66/893.74 = 307.30/x
  3. Step 3: Cross multiply
    595.66x = 893.74 × 307.30
  4. Step 4: Simplify right side
    595.66x = 274,641.07
  5. Step 5: Solve for x
    x = 274,641.07/595.66
  6. Step 6: Final answer
    x = 461.07

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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.