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Finding the Fourth Proportional to 384.89, 530.96 and 302.00

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Solution

The fourth proportional to 384.89, 530.96 and 302.00 is: 416.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.89 : 530.96 = 302.00 : x
  2. Step 2: Convert to fraction form
    384.89/530.96 = 302.00/x
  3. Step 3: Cross multiply
    384.89x = 530.96 × 302.00
  4. Step 4: Simplify right side
    384.89x = 160,345.76
  5. Step 5: Solve for x
    x = 160,345.76/384.89
  6. Step 6: Final answer
    x = 416.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.