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Finding the Fourth Proportional to 595.84, 893.52 and 307.12

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Solution

The fourth proportional to 595.84, 893.52 and 307.12 is: 460.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.84 : 893.52 = 307.12 : x
  2. Step 2: Convert to fraction form
    595.84/893.52 = 307.12/x
  3. Step 3: Cross multiply
    595.84x = 893.52 × 307.12
  4. Step 4: Simplify right side
    595.84x = 274,417.86
  5. Step 5: Solve for x
    x = 274,417.86/595.84
  6. Step 6: Final answer
    x = 460.56

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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.