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Finding the Fourth Proportional to 530.88, 800.88 and 510.72

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Solution

The fourth proportional to 530.88, 800.88 and 510.72 is: 770.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.88 : 800.88 = 510.72 : x
  2. Step 2: Convert to fraction form
    530.88/800.88 = 510.72/x
  3. Step 3: Cross multiply
    530.88x = 800.88 × 510.72
  4. Step 4: Simplify right side
    530.88x = 409,025.43
  5. Step 5: Solve for x
    x = 409,025.43/530.88
  6. Step 6: Final answer
    x = 770.47

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.