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Finding the Fourth Proportional to 530.61, 735.65 and 502.93

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Solution

The fourth proportional to 530.61, 735.65 and 502.93 is: 697.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.61 : 735.65 = 502.93 : x
  2. Step 2: Convert to fraction form
    530.61/735.65 = 502.93/x
  3. Step 3: Cross multiply
    530.61x = 735.65 × 502.93
  4. Step 4: Simplify right side
    530.61x = 369,980.45
  5. Step 5: Solve for x
    x = 369,980.45/530.61
  6. Step 6: Final answer
    x = 697.27

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.