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Finding the Fourth Proportional to 507.84, 760.98 and 354.08

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Solution

The fourth proportional to 507.84, 760.98 and 354.08 is: 530.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.84 : 760.98 = 354.08 : x
  2. Step 2: Convert to fraction form
    507.84/760.98 = 354.08/x
  3. Step 3: Cross multiply
    507.84x = 760.98 × 354.08
  4. Step 4: Simplify right side
    507.84x = 269,447.80
  5. Step 5: Solve for x
    x = 269,447.80/507.84
  6. Step 6: Final answer
    x = 530.58

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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.